Vladimir Simeonov Gueorguiev

教授(任期付)

  • 1123 Citations
  • 14 h-Index
1984 …2019

Research output per year

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Research Output

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

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

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

1 Citation (Scopus)
3 Citations (Scopus)

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

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

1 Citation (Scopus)

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

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

5 Citations (Scopus)

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

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

2 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

7 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

4 Citations (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

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

1 Citation (Scopus)
2017

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

4 Citations (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

1 Citation (Scopus)
2 Citations (Scopus)
2016

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

4 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

3 Citations (Scopus)
2015
2 Citations (Scopus)

Napoleon polygons

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

Research output: Contribution to journalArticle

1 Citation (Scopus)
2014

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

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

Research output: Contribution to journalArticle

15 Citations (Scopus)

Metric cycles, curves and solenoids

Georgiev, V. & Stepanov, E., 2014 Apr 1, In : Discrete and Continuous Dynamical Systems- Series A. 34, 4, p. 1443-1463 21 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)
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

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

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

Research output: Contribution to journalArticle

1 Citation (Scopus)
2012

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

2 Citations (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

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 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

Nonlinear instability of linearly unstable standing waves for nonlinear Schrödinger equations

Georgiev, V. & Ohta, M., 2012 Oct 5, In : Journal of the Mathematical Society of Japan. 64, 2, p. 533-548 16 p.

Research output: Contribution to journalArticle

16 Citations (Scopus)

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

Georgiev, V., Prinari, F. & Visciglia, N., 2012 Jan 1, In : Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire. 29, 3, p. 369-376 8 p.

Research output: Contribution to journalArticle

9 Citations (Scopus)
2011

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

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

Research output: Contribution to journalArticle

9 Citations (Scopus)
2010
1 Citation (Scopus)
2009

Nonlinear and multiplicative inequalities in Sobolev spaces associated with Lie algebras

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

Research output: Contribution to journalArticle

1 Citation (Scopus)
2008

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

Kirova, R., Georgiev, V., 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

6 Citations (Scopus)
2007

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

Georgiev, V., Stefanov, A. & Tarulli, M., 2007 Apr 1, In : Discrete and Continuous Dynamical Systems. 17, 4, p. 771-786 16 p.

Research output: Contribution to journalArticle

27 Citations (Scopus)
2006

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

Georgiev, V. & Tarulli, M., 2006 Apr 10, In : Asymptotic Analysis. 47, 1-2, p. 107-138 32 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

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

Georgiev, V., 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

14 Citations (Scopus)
2005
3 Citations (Scopus)

Global existence for elastic waves with memory

Georgiev, V., Rubino, B. & Sampalmieri, R., 2005 Jun 1, In : Archive for Rational Mechanics and Analysis. 176, 3, p. 303-330 28 p.

Research output: Contribution to journalArticle

10 Citations (Scopus)

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

Georgiev, V. & Visciglia, N., 2005 Jul 1, In : Journal des Mathematiques Pures et Appliquees. 84, 7, p. 957-983 27 p.

Research output: Contribution to journalArticle

16 Citations (Scopus)
2004

Decay estimates for hyperbolic systems

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

Research output: Contribution to journalArticle

6 Citations (Scopus)

Decay for nonlinear Klein-Gordon equations

Georgiev, V. & Lucente, S., 2004 Dec 1, In : Nonlinear Differential Equations and Applications. 11, 4, p. 529-555 27 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)

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

D'Ancona, P. & Georgier, V., 2004 Oct 1, In : Mathematische Zeitschrift. 248, 2, p. 227-266 40 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

7 Citations (Scopus)

Semilinear wave equation in Schwarzschild metric

Catania, D. & Georgiev, V., 2004 Jul 1, In : Nuovo Cimento della Societa Italiana di Fisica B. 119, 7-9, p. 661-683 23 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Solitary waves for Maxwell-Schrödinger equations

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

Research output: Contribution to journalArticle

36 Citations (Scopus)
2003

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

2 Citations (Scopus)

Decay Estimates for the Wave Equation with Potential

Georgiev, V. & Visciglia, N., 2003 Jan 1, In : Communications in Partial Differential Equations. 28, 7-8, p. 1325-1369 45 p.

Research output: Contribution to journalArticle

48 Citations (Scopus)
2 Citations (Scopus)