Multidimensional Kolmogorov-Petrovsky test for the boundary regularity and irregularity of solutions to the heat equation
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Publication:934785
DOI10.1155/BVP.2005.181zbMath1151.35378OpenAlexW2029726418MaRDI QIDQ934785
Publication date: 30 July 2008
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/54805
Initial-boundary value problems for second-order parabolic equations (35K20) Brownian motion (60J65)
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REGULARITY OF BOUNDARY POINTS IN THE DIRICHLET PROBLEM FOR THE HEAT EQUATION ⋮ Reaction-diffusion in nonsmooth and closed domains ⋮ Necessary and sufficient condition for uniqueness of solution to the first boundary value problem for the diffusion equation in unbounded domains ⋮ Kolmogorov problem for the heat equation and its probabilistic counterpart ⋮ On regularity of a boundary point for higher-order parabolic equations: towards Petrovskii-type criterion by blow-up approach
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