SUPERCRITICAL SEMILINEAR WAVE EQUATION WITH NON-NEGATIVE POTENTIAL
From MaRDI portal
Publication:2777582
DOI10.1081/PDE-100107822zbMath0994.35091OpenAlexW2012821754MaRDI QIDQ2777582
Vladimir Georgiev, Charlotte Heiming, Hideo Kubo
Publication date: 25 September 2002
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1081/pde-100107822
decay estimatesgeneralized Fourier transformglobal small data solutionweighted \(L^\infty\) estimates
Fundamental solutions to PDEs (35A08) Second-order nonlinear hyperbolic equations (35L70) A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15)
Related Items
On the asymptotic behavior of nonlinear waves in the presence of a short-range potential, Global solvability for nonlinear wave equations with singular potential, Critical exponent for nonlinear damped wave equations with non-negative potential in 3D, The Strauss Conjecture on Asymptotically Flat Space-Times, Weighted energy decay for 1D wave equation, On the wave equation with a large rough potential, Existence and blow up of small-amplitude nonlinear waves with a sign-changing potential