Global existence of solutions to a fully nonlinear fourth-order parabolic equation in exterior domains

DOI10.1016/0362-546X(91)90190-CzbMath0762.35042MaRDI QIDQ4008883

Reinhard Racke, Songmu Zheng

Publication date: 27 September 1992

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

zbMATH Keywords

energy estimatesdecay ratesexterior domainsuniqueness resultsgeneralized Fourier transform

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) Initial-boundary value problems for higher-order parabolic equations (35K35)

Related Items (1)

Initial boundary-value problems for quasilinear wave equations with dissipation in an exterior domain

Cites Work

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• ON THE SHORT WAVE ASYMPTOTIC BEHAVIOUR OF SOLUTIONS OF STATIONARY PROBLEMS AND THE ASYMPTOTIC BEHAVIOUR ASt→ ∞ OF SOLUTIONS OF NON-STATIONARY PROBLEMS
• Uniform Asymptotic Estimates for Wave Packets in the Quantum Theory of Scattering
• An inequality for the reduced wave operator and the justification of geometrical optics
• Decay rates for solutions of damped systems and generalized Fourier transforms.

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