A remark on nonexistence of global solutions to quasi-linear hyperbolic and parabolic equations
DOI10.1016/S0893-9659(02)80010-6zbMath1002.35011OpenAlexW2092682405MaRDI QIDQ1609516
Publication date: 15 August 2002
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0893-9659(02)80010-6
Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order hyperbolic equations (35L20) Initial-boundary value problems for second-order parabolic equations (35K20) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Second-order nonlinear hyperbolic equations (35L70)
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Cites Work
- Energy methods for quasilinear hyperbolic initial-boundary value problems. Applications to elastodynamics
- Nonexistence of global weak solutions for classes of nonlinear wave and parabolic equations
- The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types
- Blow-up of solutions to quasilinear parabolic equations
- Existence and nonexistence of solutions for \(u_ t=\text{div}(|\nabla u|^{p-2}\nabla u)+f(\nabla u,u,x,t)\)
- Das Rand-Anfangswertproblem für quasilineare Wellengleichungen in Sobolevräumen niedriger Ordnung.
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