Smoothing effect and asymptotic behaviour for the solutions of a nonlinear time dependent system

DOI10.1017/S0308210500015225zbMath0458.35054MaRDI QIDQ3907923

Alain Haraux, João-Paulo Dias

Publication date: 1981

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

initial-boundary value problemasymptotic behaviourestimatesmoothing effectnonlinear parabolic system

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60)

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Cites Work

• Non-linear semi-groups
• Solutions faibles d'équations d'évolution dans les espaces de Hilbert. (Weak solution of evolution equations in Hilbert spaces)
• On the existence of a strong solution for a nonlinear evolution system