On the critical exponent and sharp lifespan estimates for semilinear damped wave equations with data from Sobolev spaces of negative order

DOI10.1007/s00028-022-00864-wzbMath1506.35124arXiv2108.05667OpenAlexW4287025770MaRDI QIDQ2679217

Wenhui Chen, Michael Reissig

Publication date: 19 January 2023

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.05667

zbMATH Keywords

blow-upcritical exponentlifespan estimatesSobolev spaces of negative orderglobal existence of small data solutionssemilinear classical damped wave equation

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

Related Items (1)

Decay character and the semilinear structurally damped \(\sigma\)-evolution equations

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