First Boundary Value Problem for the Diffusion Equation I. Iterated Logarithm Test for the Boundary Regularity and Solvability
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Publication:4429871
DOI10.1137/S0036141002415049zbMath1036.35065MaRDI QIDQ4429871
Publication date: 30 September 2003
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Initial-boundary value problems for second-order parabolic equations (35K20) Brownian motion (60J65) Heat equation (35K05)
Related Items (5)
Well-posedness of the Dirichlet problem for the non-linear diffusion equation in non-smooth domains ⋮ 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
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