Wave equation with Wentzell's boundary condition and a related semigroup on the boundary, I

DOI10.3792/pja/1195519176zbMath0295.35046OpenAlexW2021389962MaRDI QIDQ4047901

Tadashi Ueno

Publication date: 1973

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

Full work available at URL: https://doi.org/10.3792/pja/1195519176

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05)

Related Items (6)

A generalization of the propagation of singularities theorem on asymptotically anti‐de Sitter spacetimes ⋮ Generalized Wentzell boundary conditions and quantum field theory ⋮ Wave equation with Wentzell's boundary condition and a related semigroup on the boundary, II ⋮ Fundamental solutions and Hadamard states for a scalar field with arbitrary boundary conditions on an asymptotically AdS spacetimes ⋮ Abstract wave equations with generalized Wentzell boundary conditions ⋮ Fundamental solutions for the wave operator on static Lorentzian manifolds with timelike boundary

Cites Work

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• 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
• General boundary conditions for multi-dimensional diffusion processes
• Multi-dimensional diffusion and the Markov process on the boundary
• The parabolic differential equations and the associated semigroups of transformation
• On second order differential operators
• The diffusion satisfying Wentzell's boundary condition and the Markov process on the boundary, II
• Dirichlet Spaces and Strong Markov Processes

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