Lower bounds at infinity of solutions of partial differential equations in the exterior of a proper cone

DOI10.1007/BF02760551zbMath0395.35010MaRDI QIDQ1252965

Yoshihiro Shibata, Minoru Murata

Publication date: 1978

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

SolutionsPartial Differential EquationsLower BoundsConstant CoefficientsPartial Differential Operator

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) General theory of PDEs and systems of PDEs with constant coefficients (35E20)

Related Items (2)

Rellich type decay theorem for equationP(D)u= ƒ with ƒ supported in infinite cyclinders ⋮ The Work of Yoshihiro Shibata

Cites Work

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• Lower bounds at infinity for solutions of differential equations with constant coefficients
• Liouville type theorem for a system \(\{P(D),B_j(D),j=1,\dots ,p\}\) of differential operators with constant coefficients in a half space
• Decay at infinity of solutions to higher order partial differential equations: removal of the curvature assumption
• The asymptotic behavior of the solutions of \((\Delta + \lambda )u=0\) in a domain with the unbounded boundary
• Über das asymptotische Verhalten der Lösungen von \(\Delta u+\lambda u=0\) in unendlichen Gebieten
• Growth properties of solutions of the reduced wave equation with a variable coefficient
• Differential polynomials and decay at infinity

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