The Cauchy problem for a semilinear wave equation. I
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Publication:910943
DOI10.1007/BF02208713zbMath0697.35091MaRDI QIDQ910943
Publication date: 1990
Published in: Journal of Soviet Mathematics (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/67910
Related Items (10)
Attractors for damped quintic wave equations in bounded domains ⋮ Minimal compact global attractor for a damped semilinear wave equation ⋮ Estimates for a class of oscillatory integrals and decay rates for wave-type equations ⋮ Uniform attractors for measure-driven quintic wave equations ⋮ Global Existence of Critical Nonlinear Wave Equation with Time Dependent Variable Coefficients ⋮ Existence of global solution and traveling wave of the modified short-wave equation ⋮ Global existence of solutions of the critical semilinear wave equations with variable coefficients outside obstacles ⋮ Blow-up phenomena of semilinear wave equations and their weakly coupled systems ⋮ The Strichartz estimates for the damped wave equation and the behavior of solutions for the energy critical nonlinear equation ⋮ Infinite energy solutions for weakly damped quintic wave equations in ℝ³
Cites Work
- The global Cauchy problem for the nonlinear Klein-Gordon equation
- Global classical solutions of nonlinear wave equations
- \(L^p-L^q\) estimates for the Klein-Gordon equation
- \(L^p\)-Abschätzungen und klassische Lösungen für nichtlineare Wellengleichungen. I
- On \(L_2-L_{p'}\) estimates for the wave-equation
- A priori estimates for the wave equation and some applications
- On uniqueness of weak solutions to semilinear wave equations
- Convolutions with Kernels Having Singularities on a Sphere
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