Extension or blow up of classical solutions to quasilinear evolution equations in banach spaces

DOI10.1016/S0362-546X(96)00173-3zbMath0893.34061MaRDI QIDQ4390329

Naoki Tanaka

Publication date: 24 May 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

classical solutionevolution operatorabstract quasilinear evolution equationextension or blow upquasi-dissipative

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20) Explicit solutions, first integrals of ordinary differential equations (34A05) Growth and boundedness of solutions to ordinary differential equations (34C11) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Cites Work

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• On a theorem for linear evolution equations of hyperbolic type
• Linear evolution equations of hyperbolic type. II
• Yosida approximation and nonlinear hyperbolic equation
• A Quasilinear Hyperbolic Integrodifferential Equation Related to a Nonlinear String
• On some quasilinear wave equations with dissipative terms

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