A class of general boundary conditions for multi-dimensional diffusion equation

DOI10.3792/pjaa.55.390zbMath0446.35054OpenAlexW2054778565MaRDI QIDQ1145824

Tadashi Ueno

Publication date: 1979

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.55.390

zbMATH Keywords

diffusion equationgeneral boundary conditionboundary problemexistence theoremstrong ellipticityintegro-differential boundary operator

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Initial-boundary value problems for second-order parabolic equations (35K20)

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On the stability of index of nonlocal elliptic problems ⋮ An integro-differential operator and the associated semigroup of operators

Cites Work

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• A signed measure on path space related to Wiener measure
• Sur l'existence de processus de diffusion
• Semi-groupes de Feller sur une variété à bord compacte et problèmes aux limites intégro-différentiels du second ordre donnant lieu au principe du maximum
• Multi-dimensional diffusion and the Markov process on the boundary
• The diffusion satisfying Wentzell's boundary condition and the Markov process on the boundary, II
• Wave equation with Wentzell's boundary condition and a related semigroup on the boundary, II
• Markovian systems of measures on function spaces