On the ratio of different norms of caloric functions and related eigenfunctions of an integral operator

DOI10.1007/s11425-012-4396-9zbMath1269.45009OpenAlexW2260114964MaRDI QIDQ1933982

Li-Qun Zhang, Yutao Ding

Publication date: 28 January 2013

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-012-4396-9

zbMATH Keywords

asymptotic behaviorheat equationCauchy problemeigenvalueseigenfunctionsintegral operators

Mathematics Subject Classification ID

Heat equation (35K05) Integral representations of solutions to PDEs (35C15) Asymptotics of solutions to integral equations (45M05) Integral operators (45P05) Eigenvalue problems for integral equations (45C05)

Cites Work

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• Decay at infinity of caloric functions within characteristic hyperplanes
• On localization in the continuous Anderson-Bernoulli model in higher dimension
• Asymptotic behavior of the eigenvalues of certain integral equations. II
• GENERALIZED ANALYTICITY AND SOME RELATED PROPERTIES OF SOLUTIONS OF ELLIPTIC AND PARABOLIC EQUATIONS
• Quantitative unique continuation, logarithmic convexity of Gaussian means and Hardy's uncertainty principle

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