Lifespan estimates for solutions of some evolution inequalities

DOI10.1134/S0012266109100103zbMath1184.35075MaRDI QIDQ2654933

Enzo Mitidieri, Pohozaev, Stanislav I.

Publication date: 22 January 2010

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

blow-up time

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

Related Items (7)

A new phenomenon in the critical exponent for structurally damped semi-linear evolution equations ⋮ On the blow-up of sign-changing solutions to semilinear parabolic equations ⋮ Sharp upper bound for lifespan of solutions to some critical semilinear parabolic, dispersive and hyperbolic equations via a test function method ⋮ Critical exponent for the Cauchy problem to the weakly coupled damped wave system ⋮ Unnamed Item ⋮ The critical exponent for semilinear \(\sigma \)-evolution equations with a strong non-effective damping ⋮ Global small data solutions for semilinear waves with two dissipative terms

Cites Work

• Global Existence for Nonlinear Wave Equations with Small Data of Noncompact Support in Three Space Dimensions
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