A CHARACTERIZATION OF SOBOLEV SPACES BY SOLUTIONS OF HEAT EQUATION AND A STABILITY PROBLEM FOR A FUNCTIONAL EQUATION

DOI10.4134/CKMS.2008.23.3.401zbMATH Open1168.35373OpenAlexW2076262709MaRDI QIDQ3394295

Young-Su Lee, Deok-Yong Kwon, Soon-Yeong Chung, Yun-Sung Chung

Publication date: 28 August 2009

Published in: Communications of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4134/ckms.2008.23.3.401

zbMATH Keywords

Sobolev spaceheat kernelCauchy functional equation

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Operations with distributions and generalized functions (46F10) Heat equation (35K05) Stability, separation, extension, and related topics for functional equations (39B82)

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Finding solution subspaces of the Laplace and heat equations isometric to spaces of real functions, and some of their applications

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