Vladimir Simeonov Gueorguiev

教授(任期付)

  • 1137 Citations
  • 14 h-Index
1984 …2020

Research output per year

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Research Output

2020
Open Access

Critical exponent of Fujita-type for the semilinear damped wave equation on the Heisenberg group with power nonlinearity

Georgiev, V. & Palmieri, A., 2020 Jun 15, In : Journal of Differential Equations. 269, 1, p. 420-448 29 p.

Research output: Contribution to journalArticle

Self-similar solutions to the derivative nonlinear Schrödinger equation

Fujiwara, K., Georgiev, V. & Ozawa, T., 2020 Jun 5, In : Journal of Differential Equations. 268, 12, p. 7940-7961 22 p.

Research output: Contribution to journalArticle

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)

Low frequency resolvent estimates for Dirichlet Laplacian on exterior domains

Georgiev, V. & Matsuyama, T., 2019 Nov 13, Proceedings of the 45th International Conference on Application of Mathematics in Engineering and Economics, AMEE 2019. Pasheva, V., Popivanov, N. & Venkov, G. (eds.). American Institute of Physics Inc., 030012. (AIP Conference Proceedings; vol. 2172).

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

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

2 Citations (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

Upper bound estimates for local in time solutions to the semilinear heat equation on stratified lie groups in the sub-Fujita case

Georgiev, V. & Palmieri, A., 2019 Oct 2, 6th International Conference on New Trends in the Applications of Differential Equations in Sciences, NTADES 2019. Slavova, A. (ed.). American Institute of Physics Inc., 020003. (AIP Conference Proceedings; vol. 2159).

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

1 Citation (Scopus)
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)

Higher Order Fractional Leibniz Rule

Fujiwara, K., Georgiev, V. & Ozawa, T., 2018 Jun 1, In : Journal of Fourier Analysis and Applications. 24, 3, p. 650-665 16 p.

Research output: Contribution to journalArticle

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

8 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

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)
3 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, In : Discrete and Continuous Dynamical Systems. 17, 4, p. 771-786 16 p.

Research output: Contribution to journalArticle

Open Access
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)