Vladimir Simeonov Gueorguiev

教授(任期付)

  • 1032 Citations
  • 13 h-Index
1984 …2019
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Research Output 1984 2019

  • 1032 Citations
  • 13 h-Index
  • 66 Article
  • 3 Chapter
  • 1 Conference contribution
  • 1 Comment/debate
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Article
2019

Critical exponent for nonlinear damped wave equations with non-negative potential in 3D

Gueorguiev, V. S., Kubo, H. & Wakasa, K., 2019 Jan 1, In : Journal of Differential Equations.

Research output: Contribution to journalArticle

Damped Wave Equation
Nonlinear Wave Equation
Wave equations
Critical Exponents
Damping

Existence and uniqueness of ground states for p-Choquard model

Gueorguiev, V. S., Tarulli, M. & Venkov, G., 2019 Feb 1, In : Nonlinear Analysis, Theory, Methods and Applications. 179, p. 131-145 15 p.

Research output: Contribution to journalArticle

Ground state
Ground State
Existence and Uniqueness
Crystal symmetry
Pohozaev Identity
Electric commutators
Local Well-posedness
Initial value problems
Ginzburg-Landau
Elliptic Operator

On fractional Leibniz rule for dirichlet laplacian in exterior domain

Gueorguiev, V. S. & Taniguchi, K., 2019 Feb 1, In : Discrete and Continuous Dynamical Systems- Series A. 39, 2, p. 1101-1115 15 p.

Research output: Contribution to journalArticle

Leibniz' rule
Dirichlet Laplacian
Exterior Domain
Dirichlet Problem
Fractional

On Traveling Solitary Waves and Absence of Small Data Scattering for Nonlinear Half-Wave Equations

Bellazzini, J., Gueorguiev, V. S., Lenzmann, E. & Visciglia, N., 2019 Jan 1, In : Communications in Mathematical Physics.

Research output: Contribution to journalArticle

Solitary Waves
Traveling Wave
wave equations
Wave equation
solitary waves
2018
2 Citations (Scopus)

Blow-up for self-interacting fractional Ginzburg-Landau equation

Fujiwara, K., Gueorguiev, V. S. & Ozawa, T., 2018 Jan 1, In : Dynamics of Partial Differential Equations. 15, 3, p. 175-182 8 p.

Research output: Contribution to journalArticle

Blow-up of Solutions
Ginzburg-Landau Equation
Life Span
Blow-up
Cauchy Problem

Breaking symmetry in focusing nonlinear Klein-Gordon equations with potential

Gueorguiev, V. S. & Lucente, S., 2018 Dec 1, In : Journal of Hyperbolic Differential Equations. 15, 4, p. 755-788 34 p.

Research output: Contribution to journalArticle

Nonlinear Klein-Gordon Equation
Symmetry Breaking
Energy
Global Existence
Blow-up
1 Citation (Scopus)

Focusing NLKG equation with singular potential

Gueorguiev, V. S. & Lucente, S., 2018 Jul 1, In : Communications on Pure and Applied Analysis. 17, 4, p. 1387-1406 20 p.

Research output: Contribution to journalArticle

Singular Potential
Ground state
Decomposition
Energy
Global Existence
5 Citations (Scopus)

Long time dynamics for semi-relativistic NLS and half wave in arbitrary dimension

Bellazzini, J., Gueorguiev, V. S. & Visciglia, N., 2018 Mar 10, (Accepted/In press) In : Mathematische Annalen. p. 1-34 34 p.

Research output: Contribution to journalArticle

Ground State
Cauchy
Existence Results
Arbitrary
Radial Symmetry
3 Citations (Scopus)

On fractional powers of singular perturbations of the Laplacian

Gueorguiev, V. S., Michelangeli, A. & Scandone, R., 2018 Jan 1, (Accepted/In press) In : Journal of Functional Analysis.

Research output: Contribution to journalArticle

Fractional Powers
Singular Perturbation
Fractional
Norm
Point Interactions
1 Citation (Scopus)

On the classification of the spectrally stable standing waves of the Hartree problem

Gueorguiev, V. S. & Stefanov, A., 2018 May 1, In : Physica D: Nonlinear Phenomena. 370, p. 29-39 11 p.

Research output: Contribution to journalArticle

standing waves
solitary waves
nonlinearity
bells
1 Citation (Scopus)

Zero resonances for localised potentials

Gueorguiev, V. S. & Wirth, J., 2018 Jul 1, In : Journal of Mathematical Physics. 59, 7, 071502.

Research output: Contribution to journalArticle

Zero
estimates
Calculate
Estimate
2017
2 Citations (Scopus)

Higher Order Fractional Leibniz Rule

Fujiwara, K., Gueorguiev, V. S. & Ozawa, T., 2017 Apr 3, (Accepted/In press) In : Journal of Fourier Analysis and Applications. p. 1-16 16 p.

Research output: Contribution to journalArticle

Leibniz' rule
Redistribution
Fractional Derivative
Fractional
Higher Order
1 Citation (Scopus)

On homogeneous Besov spaces for 1D Hamiltonians without zero resonance

Gueorguiev, V. S. & Giammetta, A. R., 2017, (Accepted/In press) In : Journal des Mathematiques Pures et Appliquees.

Research output: Contribution to journalArticle

Hamiltonians
Besov Spaces
Laplace Operator
Homogeneous Space
Real Line
1 Citation (Scopus)
Orbital Stability
Nonlinear equations
Ground state
One Dimension
Ground State
2016
3 Citations (Scopus)

Mathematical Phase Model of Neural Populations Interaction in Modulation of REM/NREM Sleep

Acquistapace, P., Candeloro, A. P., Gueorguiev, V. S. & Manca, M. L., 2016 Nov 1, In : Mathematical Modelling and Analysis. 21, 6, p. 794-810 17 p.

Research output: Contribution to journalArticle

Eye Movements
Eye movements
Sleep
Modulation
Interaction
3 Citations (Scopus)

On the regularity of the flow map associated with the 1D cubic periodic half-wave equation

Gueorguiev, V. S., Tzvetkov, N. & Visciglia, N., 2016, In : Differential and Integral Equations. 29, 1-2, p. 183-200 18 p.

Research output: Contribution to journalArticle

Sobolev spaces
Wave equations
Wave equation
Regularity
Cubic equation
2015
1 Citation (Scopus)

Napoleon polygons

Andreescu, T., Gueorguiev, V. S. & Mushkarov, O., 2015, In : American Mathematical Monthly. 122, 1, p. 24-29 6 p.

Research output: Contribution to journalArticle

n-gon
Polygon
Theorem
If and only if
Generalise
2014
13 Citations (Scopus)

Decay and scattering of small solutions of pure power NLS in ℝ with p>3 and with a potential

Cuccagna, S., Visciglia, N. & Gueorguiev, V. S., 2014, In : Communications on Pure and Applied Mathematics. 67, 6, p. 957-981 25 p.

Research output: Contribution to journalArticle

Small Solutions
Linearization
Nonlinear equations
Mathematical operators
Nonlinear Equations
1 Citation (Scopus)

Metric cycles, curves and solenoids

Gueorguiev, V. S. & Stepanov, E., 2014 Apr, In : Discrete and Continuous Dynamical Systems- Series A. 34, 4, p. 1443-1463 21 p.

Research output: Contribution to journalArticle

Solenoid
Solenoids
Cycle
Metric
Curve
2013
1 Citation (Scopus)

Global Regularity for the Quadratic Klein-Gordon Equation in R1+2

Gueorguiev, V. S. & Stefanov, A., 2013, In : Communications in Partial Differential Equations. 38, 8, p. 1287-1312 26 p.

Research output: Contribution to journalArticle

Dispersive Estimates
Global Regularity
Sobolev spaces
Quadratic equation
Klein-Gordon Equation
2012
14 Citations (Scopus)
Nonlinear Instability
Standing Wave
Nonlinear Equations
Linearly
Unstable
9 Citations (Scopus)

On the radiality of constrained minimizers to the Schrödinger-Poisson- Slater energy

Gueorguiev, V. S., Prinari, F. & Visciglia, N., 2012, In : Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire. 29, 3, p. 369-376 8 p.

Research output: Contribution to journalArticle

Minimizer
Siméon Denis Poisson
Radial Symmetry
Energy
Modulo
2011
8 Citations (Scopus)

Symmetry and uniqueness of minimizers of Hartree type equations with external Coulomb potential

Gueorguiev, V. S. & Venkov, G., 2011 Jul 15, In : Journal of Differential Equations. 251, 2, p. 420-438 19 p.

Research output: Contribution to journalArticle

Coulomb Potential
Minimizer
Uniqueness
Hartree Equation
Radial Symmetry
2010
1 Citation (Scopus)
Coulomb Potential
Spectral Properties
Linearization
Nonexistence
Zero
2009
1 Citation (Scopus)

Nonlinear and multiplicative inequalities in Sobolev spaces associated with Lie algebras

Gueorguiev, V. S. & Lucente, S., 2009 Feb 15, In : Nonlinear Analysis, Theory, Methods and Applications. 70, 4, p. 1574-1609 36 p.

Research output: Contribution to journalArticle

Generalized Sobolev Spaces
Sobolev spaces
Sobolev Spaces
Algebra
Multiplicative
2008
6 Citations (Scopus)

Asymptotic behavior for linear and nonlinear elastic waves in materials with memory

Kirova, R., Gueorguiev, V. S., Rubino, B., Sampalmieri, R. & Yordanov, B., 2008 Oct 1, In : Journal of Non-Crystalline Solids. 354, 35-39, p. 4126-4137 12 p.

Research output: Contribution to journalArticle

viscoelasticity
Elastic waves
Viscoelasticity
elastic waves
Cauchy problem
2007
25 Citations (Scopus)

Smoothing - Strichartz estimates for the schrödinger equation with small magnetic potential

Gueorguiev, V. S., Stefanov, A. & Tarulli, M., 2007 Apr, In : Discrete and Continuous Dynamical Systems. 17, 4, p. 771-786 16 p.

Research output: Contribution to journalArticle

Strichartz Estimates
Smoothing
Point Spectrum
Scale Invariant
Laplace Operator
2006
5 Citations (Scopus)

Scale invariant energy smoothing estimates for the Schrödinger equation with small magnetic potential

Gueorguiev, V. S. & Tarulli, M., 2006, In : Asymptotic Analysis. 47, 1-2, p. 107-138 32 p.

Research output: Contribution to journalArticle

Scale Invariant
Smoothing
Energy
Commutator Estimate
Estimate
11 Citations (Scopus)

The lifespan of solutions to nonlinear systems of a high-dimensional wave equation

Gueorguiev, V. S., Takamura, H. & Yi, Z., 2006 May 15, In : Nonlinear Analysis, Theory, Methods and Applications. 64, 10, p. 2215-2250 36 p.

Research output: Contribution to journalArticle

Sobolev spaces
Life Span
Wave equations
Nonlinear systems
Wave equation
2005
3 Citations (Scopus)
Sobolev spaces
Singular Potential
Wave Operator
Lorentz Spaces
Homogeneous Space
10 Citations (Scopus)

Global existence for elastic waves with memory

Gueorguiev, V. S., Rubino, B. & Sampalmieri, R., 2005 Jun, In : Archive for Rational Mechanics and Analysis. 176, 3, p. 303-330 28 p.

Research output: Contribution to journalArticle

Memory Term
Elastic Waves
Elastic waves
Global Existence
Polynomial Decay
12 Citations (Scopus)

Solitary waves for Klein-Gordon-Maxwell system with external Coulomb potential

Gueorguiev, V. S. & Visciglia, N., 2005 Jul, In : Journal des Mathematiques Pures et Appliquees. 84, 7, p. 957-983 27 p.

Research output: Contribution to journalArticle

Maxwell System
Coulomb Potential
Solitary Waves
Solitons
Nonexistence
2004
6 Citations (Scopus)

Decay estimates for hyperbolic systems

Gueorguiev, V. S., Lucente, S. & Ziliotti, G., 2004 Jan 1, In : Hokkaido Mathematical Journal. 33, 1, p. 83-113 31 p.

Research output: Contribution to journalArticle

Decay Estimates
First-order System
Hyperbolic Systems
Anisotropic Elasticity
Pointwise Estimates
8 Citations (Scopus)

Decay for nonlinear Klein-Gordon equations

Gueorguiev, V. S. & Lucente, S., 2004 Dec, In : Nonlinear Differential Equations and Applications. 11, 4, p. 529-555 27 p.

Research output: Contribution to journalArticle

Nonlinear Klein-Gordon Equation
Sobolev spaces
Weighted Sobolev Spaces
Fractional Order
Nonlinearity
5 Citations (Scopus)

Low regularity solutions for the wave map equation into the 2-D sphere

D'Ancona, P. & Gueorguiev, V. S., 2004 Oct, In : Mathematische Zeitschrift. 248, 2, p. 227-266 40 p.

Research output: Contribution to journalArticle

Regularity
Ill-posedness
Self-similar Solutions
Nonuniqueness
Equivariant
7 Citations (Scopus)

On the continuity of the solution operator to the wave map system

D'Ancona, P. & Gueorguiev, V. S., 2004 Mar, In : Communications on Pure and Applied Mathematics. 57, 3, p. 357-383 27 p.

Research output: Contribution to journalArticle

Uniformly continuous
Operator
Counterexample
Norm
Target
1 Citation (Scopus)

Semilinear wave equation in Schwarzschild metric

Catania, D. & Gueorguiev, V. S., 2004 Jul, In : Nuovo Cimento della Societa Italiana di Fisica B. 119, 7-9, p. 661-683 23 p.

Research output: Contribution to journalArticle

Schwarzschild metric
wave equations
35 Citations (Scopus)

Solitary waves for Maxwell-Schrödinger equations

Coclite, G. M. & Gueorguiev, V. S., 2004 Jul 30, In : Electronic Journal of Differential Equations. 2004, p. 1-15 15 p.

Research output: Contribution to journalArticle

Solitary Waves
Maxwell's equations
Coupled System
Smoothness
Asymptotic Behavior
2003
2 Citations (Scopus)

Concentration of local energy for two-dimensional wave maps

Gueorguiev, V. S. & Ivanov, A., 2003 Jan 1, In : Rendiconti dell'Istituto di Matematica dell'Universita di Trieste. 35, p. 195-235 41 p.

Research output: Contribution to journalArticle

Source Terms
Blow-up Solution
Energy
Equivariant
Space-time
43 Citations (Scopus)

Decay Estimates for the Wave Equation with Potential

Gueorguiev, V. S. & Visciglia, N., 2003, In : Communications in Partial Differential Equations. 28, 7-8, p. 1325-1369 45 p.

Research output: Contribution to journalArticle

Dispersive Estimates
Fredholm Theory
Resolvent Estimates
Decay Estimates
Wave equations
2 Citations (Scopus)
Dispersive Estimates
Weighted Estimates
Propagator
Wave equation
Perturbation
2001
5 Citations (Scopus)

Life-span of subcritical semilinear wave equation

Di Pomponio, S. & Gueorguiev, V. S., 2001 Nov, In : Asymptotic Analysis. 28, 2, p. 91-114 24 p.

Research output: Contribution to journalArticle

Strichartz Estimates
Weighted Estimates
Semilinear Wave Equation
Life Span
Wave equation
10 Citations (Scopus)

Supercritical semilinear wave equation with non-negative potential

Gueorguiev, V. S., Heiming, C. & Kubo, H., 2001, In : Communications in Partial Differential Equations. 26, 11-12, p. 2267-2303 37 p.

Research output: Contribution to journalArticle

Semilinear Wave Equation
Wave equations
Non-negative
Generalized Fourier Transform
Laplace Operator
32 Citations (Scopus)

Weighted decay estimates for the wave equation

D'Ancona, P., Gueorguiev, V. S. & Kubo, H., 2001 Nov 20, In : Journal of Differential Equations. 177, 1, p. 146-208 63 p.

Research output: Contribution to journalArticle

Weighted Estimates
Weighted Sobolev Spaces
Decay Estimates
Wave equations
Wave equation
2000
3 Citations (Scopus)

Critical exponent for wave equation with potential

Gueorguiev, V. S., Heiming, C. & Kubo, H., 2000 Jan 1, In : Rendiconti dell'Istituto di Matematica dell'Universita di Trieste. 31, p. 103-127 25 p.

Research output: Contribution to journalArticle

Critical Exponents
Wave equation
Estimate
Semilinear Wave Equation
Linear equation
2 Citations (Scopus)

Une estimation de Strichartz avec poids pour l'équation des ondes

D'Ancona, P., Gueorguiev, V. S. & Kubo, H., 2000 Mar 1, In : Comptes Rendus de l'Academie des Sciences - Series I: Mathematics. 330, 5, p. 349-354 6 p.

Research output: Contribution to journalArticle

Strichartz Estimates
Weighted Estimates
Weighted Sobolev Spaces
Wave equation
Sobolev Embedding
1 Citation (Scopus)

Weighted Strichartz estimate for the wave equation and low regularity solutions

D'ancona, P., Gueorguiev, V. S. & Kubo, H., 2000 Jan 1, In : Rendiconti dell'Istituto di Matematica dell'Universita di Trieste. 31, p. 51-61 11 p.

Research output: Contribution to journalArticle

Strichartz Estimates
Weighted Estimates
Weighted Sobolev Spaces
Wave equation
Regularity
1999
15 Citations (Scopus)

Weighted Sobolev spaces applied to nonlinear Klein-Gordon equation

Gueorguiev, V. S. & Lucente, S., 1999 Jul 1, In : Comptes Rendus de l'Academie des Sciences - Series I: Mathematics. 329, 1, p. 21-26 6 p.

Research output: Contribution to journalArticle

Nonlinear Klein-Gordon Equation
Weighted Sobolev Spaces
Fractional Order
Nonlinearity
Decay
1998
6 Citations (Scopus)
Semilinear Wave Equation
Wave equations
Source Terms
Dissipation
Asymptotic Behavior