Vladimir Simeonov Gueorguiev

教授(任期付)

  • 1085 Citations
  • 13 h-Index
1984 …2019
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Research Output 1984 2019

2019

Blow-Up or Global Existence for the Fractional Ginzburg-Landau Equation in Multi-dimensional Case

Forcella, L., Fujiwara, K., Gueorguiev, V. S. & Ozawa, T., 2019 Jan 1, Trends in Mathematics. Springer International Publishing, p. 179-202 24 p. (Trends in Mathematics).

Research output: Chapter in Book/Report/Conference proceedingChapter

Ginzburg-Landau Equation
Global Existence
Blow-up
Fractional
Blow-up of Solutions

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
1 Citation (Scopus)

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
2 Citations (Scopus)
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
Electric commutators
Scattering Problems
Nonlinear equations
Resolvent Estimates
nonlinear equations

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

Preface

D’abbicco, M., Ebert, M. R., Gueorguiev, V. S. & Ozawa, T., 2019 Jan 1, In : Trends in Mathematics. p. v-vi

Research output: Contribution to journalEditorial

2018
4 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
2 Citations (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
6 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
4 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
4 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
2 Citations (Scopus)
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

Far field expansion for Hartree type equation

Gueorguiev, V. S. & Venkov, G., 2013 Jan 1, 39th International Conference Applications of Mathematics in Engineering and Economics, AMEE 2013. Venkov, G. & Pasheva, V. (eds.). American Institute of Physics Inc., Vol. 1570. p. 343-355 13 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

far fields
expansion
convolution integrals
infinity
differential equations
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
2 Citations (Scopus)

Decay estimates for the supercritical 3-D Schrödinger equation with rapidly decreasing potential

Gueorguiev, V. S. & Velichkov, B., 2012, Progress in Mathematics. Springer Basel, Vol. 301. p. 145-162 18 p. (Progress in Mathematics; vol. 301).

Research output: Chapter in Book/Report/Conference proceedingChapter

Decay Estimates
3D
Non-negative
Nonlinearity
Generator

Dispersive properties of Schrödinger operators in the absence of a resonance at zero energy in 3D

Gueorguiev, V. S. & Tarulli, M., 2012 Jan 1, Evolution Equations of Hyperbolic and Schrödinger Type: Asymptotics, Estimates and Nonlinearities. Springer Basel, p. 115-143 29 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Local Energy Decay
Spectral Properties
Wave equation
Zero
Operator
1 Citation (Scopus)

Dispersive properties of Schrödinger operators in the absence of a resonance at zero energy in 3D

Gueorguiev, V. S. & Tarulli, M., 2012, Progress in Mathematics. Springer Basel, Vol. 301. p. 115-143 29 p. (Progress in Mathematics; vol. 301).

Research output: Chapter in Book/Report/Conference proceedingChapter

Local Energy Decay
Potential Operators
Spectral Properties
Wave equation
Zero
15 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
9 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
26 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
13 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
15 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
45 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