Blow-up of solutions to semilinear wave equations with spatial derivatives
DOI10.3934/DCDS.2024098MaRDI QIDQ6640849
Chengbo Wang, Kerun Shao, Hiroyuki Takamura
Publication date: 20 November 2024
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Critical exponents in context of PDEs (35B33) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)
Cites Work
- The Glassey conjecture with radially symmetric data
- Existence of global solutions to nonlinear massless Dirac system and wave equation with small data
- Almost Global Existence for Some Semilinear Wave Equations with Almost Critical Regularity
- Global behavior of solutions to nonlinear wave equations in three dimensions
- Finite-Time Blow-Up for in Two Space Dimensions
- Finite-time blow-up for nonlinear wave equations in high dimensions
- Upper bounds for the life span of solutions to systems of nonlinear wave equations in two and three space dimensions
- Global existence and asymptotic behavior of solutions for nonlinear wave equations
- Blow up of solutions to the Cauchy problem for nonlinear wave equations
- Semilinear wave equations of derivative type with spatial weights in one space dimension
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