Global well-posedness and self-similarity for semilinear wave equations in a time-weighted framework of Besov type
From MaRDI portal
Publication:5119535
DOI10.1142/S0219891620500046zbMath1450.35173OpenAlexW3035670474MaRDI QIDQ5119535
Lucas C. F. Ferreira, Jhean E. Pérez-López
Publication date: 28 August 2020
Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219891620500046
Function spaces arising in harmonic analysis (42B35) Initial value problems for second-order hyperbolic equations (35L15) Self-similar solutions to PDEs (35C06) Second-order semilinear hyperbolic equations (35L71)
Cites Work
- Unnamed Item
- Unnamed Item
- Time-weighted estimates in Lorentz spaces and self-similarity for wave equations with singular potentials
- Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations
- Nonlinear scattering theory at low energy
- Regularity results for nonlinear wave equations
- Self-similar solutions and semi-linear wave equations in Besov spaces
- Sharp existence results for self-similar solutions of semilinear wave equations
- Global solutions and self-similar solutions of semilinear wave equation
- Weighted Strichartz estimates for the wave equation in even space dimensions
- Scattering and self-similar solutions for the nonlinear wave equation
- Generalized Strichartz inequalities for the wave equation
- Self-similar and asymptotically self-similar solutions of nonlinear wave equations
- An elementary proof of Strauss conjecture
- Finite energy self–similar solutions of a nonlinear wave equation
- A generalization of the weighted Strichartz estimates for wave equations and an application to self-similar solutions
- Regularity for the wave equation with a critical nonlinearity
- Weighted Strichartz estimates and existence of self-similar solutions for semilinear wave equations
- ON SELF-SIMILAR SOLUTIONS, WELL-POSEDNESS AND THE CONFORMAL WAVE EQUATION
- Recent works on the Strauss conjecture