Asymptotical expansions of solutions of linear parabolic equations as \(t\to \infty\)

DOI10.1016/0022-247X(88)90392-7zbMath0668.35043OpenAlexW2046947638MaRDI QIDQ1118101

S. H. Smith

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(88)90392-7

zbMATH Keywords

asymptotic expansionsmooth boundarymixed problemuniformly ellipticorder 2mexternal domainself-adjoint positive operator

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order parabolic equations (35K35) Asymptotic expansions of solutions to PDEs (35C20)

Cites Work

• Large time asymptotics for fundamental solutions of diffusion equations
• Solutions of external boundary problems for small values of the spectral parameter
• Spectral properties of Schrödinger operators and time-decay of the wave functions
• Asymptotic expansions in time for solutions of Schrödinger-type equations
• The perturbed Laplace operator in a weighted \(L^ 2\)-space
• ON EXTERIOR ELLIPTIC PROBLEMS POLYNOMIALLY DEPENDING ON A SPECTRAL PARAMETER, AND THE ASYMPTOTIC BEHAVIOR FOR LARGE TIME OF SOLUTIONS OF NONSTATIONARY PROBLEMS
• ON THE ANALYTICAL PROPERTIES OF THE RESOLVENT FOR A CERTAIN CLASS OF OPERATOR-PENCILS
• THE PRINCIPLE OF LIMIT AMPLITUDE

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