Vladimir Simeonov Gueorguiev

教授(任期付)

  • 1045 Citations
  • 13 h-Index
1984 …2019
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Research Output 1984 2019

2001
6 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
1997
142 Citations (Scopus)

Weighted Strichartz estimates and global existence for semilinear wave equations

Gueorguiev, V. S., Lindblad, H. & Sogge, C. D., 1997 Dec, In : American Journal of Mathematics. 119, 6, p. 1291-1319 29 p.

Research output: Contribution to journalArticle

Strichartz Estimates
Weighted Estimates
Semilinear Wave Equation
Nonlinear Wave Equation
Existence Theorem
1996
7 Citations (Scopus)

Bound-State Solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac Systems

Esteban, M. J., Gueorguiev, V. S. & Séré, E., 1996, In : Letters in Mathematical Physics. 38, 2, p. 217-220 4 p.

Research output: Contribution to journalArticle

Dirac equation
Bound States
infinity
Paul Adrien Maurice Dirac
Dirac Equation
71 Citations (Scopus)

Stationary solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac equations

Esteban, M. J., Gueorguiev, V. S. & Séré, E., 1996 Apr, In : Calculus of Variations and Partial Differential Equations. 4, 3, p. 265-281 17 p.

Research output: Contribution to journalArticle

Klein-Gordon Equation
Dirac Equation
Stationary Solutions
Solitons
Paul Adrien Maurice Dirac
1995
6 Citations (Scopus)

Global existence of low regularity solutions of non-linear wave equations

Gueorguiev, V. S. & Schirmer, P. P., 1995 May, In : Mathematische Zeitschrift. 219, 1, p. 1-19 19 p.

Research output: Contribution to journalArticle

Regularity of Solutions
Nonlinear Wave Equation
Global Existence
1994
366 Citations (Scopus)

Existence of a solution of the wave equation with nonlinear damping and source terms

Gueorguiev, V. S. & Todorova, G., 1994 Apr 15, In : Journal of Differential Equations. 109, 2, p. 295-308 14 p.

Research output: Contribution to journalArticle

Nonlinear Source
Nonlinear Damping
Damping Term
Wave equations
Source Terms
1993
7 Citations (Scopus)

High‐frequency asymptotics in inverse scattering by ellipsoids

Arnaoudov, Y., Dassios, G. & Gueorguiev, V. S., 1993, In : Mathematical Methods in the Applied Sciences. 16, 1, p. 1-12 12 p.

Research output: Contribution to journalArticle

Inverse Scattering
Ellipsoid
Linear systems
Acoustics
Boundary conditions
1992
36 Citations (Scopus)

Decay estimates for the klein - gordon equation

Gueorguiev, V. S., 1992 Jan 1, In : Communications in Partial Differential Equations. 17, 7-8, p. 1111-1139 29 p.

Research output: Contribution to journalArticle

Decay Estimates
Klein-Gordon Equation
5 Citations (Scopus)

Numerical algorithm for the dynamic analysis of base-isolated structures with dry friction

Dimova, S. & Gueorguiev, V. S., 1992 Jul, In : Natural Hazards. 6, 1, p. 71-86 16 p.

Research output: Contribution to journalArticle

dynamic analysis
friction
nonlinearity
test
1 Citation (Scopus)

The asymptotic behavior of Yang-Mills fields in the large

Gueorguiev, V. S. & Schirmer, P. P., 1992 Sep, In : Communications in Mathematical Physics. 148, 3, p. 425-444 20 p.

Research output: Contribution to journalArticle

Yang-Mills Field
Yang-Mills fields
Symmetric Solution
Gauge
Asymptotic Behavior
1991
18 Citations (Scopus)

Global solution to the two-dimensional klein-gordon equation

Gueorguiev, V. S. & Popivanov, P., 1991 Jan 1, In : Communications in Partial Differential Equations. 16, 6-7, p. 941-995 55 p.

Research output: Contribution to journalArticle

Klein-Gordon Equation
Global Solution
1 Citation (Scopus)

Weighted decay estimate for the wave equation

Covachev, V. & Gueorguiev, V. S., 1991, In : Proceedings of the American Mathematical Society. 112, 2, p. 393-402 10 p.

Research output: Contribution to journalArticle

Sobolev spaces
Weighted Estimates
Weighted Sobolev Spaces
Decay Estimates
Klein-Gordon Equation
1990
31 Citations (Scopus)

Global solution of the system of wave and Klein-Gordon equations

Gueorguiev, V. S., 1990 Jan, In : Mathematische Zeitschrift. 203, 1, p. 683-698 16 p.

Research output: Contribution to journalArticle

Klein-Gordon Equation
Global Solution
1986
7 Citations (Scopus)

Disappearing solutions for dissipative hyperbolic systems of constant multiplicity

Gueorguiev, V. S., 1986, In : Hokkaido Mathematical Journal. 15, 3, p. 357-385 29 p.

Research output: Contribution to journalArticle

1985
4 Citations (Scopus)

Controllability of the Scattering Operator for Dissipative Hyperbolic Systems

Gueorguiev, V. S., 1985, In : Mathematische Nachrichten. 122, 1, p. 339-346 8 p.

Research output: Contribution to journalArticle

Scattering Operator
Dissipative Systems
Hyperbolic Systems
Controllability
1 Citation (Scopus)
Inverse Scattering Problem
Scattering Amplitude
Dissipative Systems
Hyperbolic Systems
1984
2 Citations (Scopus)
Inverse Scattering Problem
Scattering Amplitude
Dissipative Systems
Hyperbolic Systems