On smoothness of thermal potentials in Dini-Hölder space
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Publication:2552628
DOI10.1007/BF00967836zbMath0237.35045OpenAlexW2069204622MaRDI QIDQ2552628
Publication date: 1971
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00967836
Initial-boundary value problems for second-order parabolic equations (35K20) Representations of solutions to partial differential equations (35C99)
Related Items (16)
Simple layer potential and the first boundary value problem for a parabolic system on the plane ⋮ Mixed problems for plane parabolic systems and boundary integral equations ⋮ Poisson potential in the first initial-boundary value problem for a parabolic system in a semibounded domain on the plane ⋮ Smooth solution of the first initial-boundary value problem for parabolic systems in a semibounded domain with nonsmooth lateral boundary on the plane ⋮ On the unique solvability of initial-boundary value problems for parabolic systems in bounded plane domains with nonsmooth lateral boundaries ⋮ On the fundamental solution of a parabolic equation with Dini continuous coefficients ⋮ Uniqueness of solutions to initial-boundary value problems for parabolic systems with dini-continuous coefficients in a semibounded domain on the plane ⋮ Regular fundamental solution to parabolic equation with Dini continuous coefficients in many spatial variables ⋮ Volume potential and initial-boundary value problems for parabolic systems with Dini continuous coefficients in the plane ⋮ Initial-boundary value problems for homogeneous parabolic systems in a semibounded plane domain and complementarity condition ⋮ Bitsadze–Samarskii problem for parabolic systems with Dini continuous coefficients ⋮ Estimates for the derivative of parabolic simple layer potential in the Dini space ⋮ Dirichlet problem for parabolic systems with Dini continuous coefficients ⋮ Smoothness in the dini space of a single layer potential for a parabolic system in the plane ⋮ Contact problem for second order parabolic systems in a strip with a nonsmooth interface curve ⋮ Uniqueness of the solution of the first initial-boundary value problem for a parabolic system with differentiable coefficients in a half-strip with nonsmooth lateral boundary
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