On solution of the fundamental boundary value problems for a one- dimensional parabolic equation of second order by the method of potentials

DOI10.1007/BF00967433zbMath0301.35047MaRDI QIDQ1215766

L. I. Kamynin

Publication date: 1975

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Integral representations of solutions to PDEs (35C15) Initial value problems for second-order parabolic equations (35K15) Other special methods applied to PDEs (35A25)

Related Items (9)

Smooth solution of the second initial-boundary value problem for a model parabolic system in a semibounded nonsmooth domain on the plane ⋮ The Cauchy problem for a multi-dimensional parabolic equation with Dini-continuous coefficients ⋮ On the unique solvability of initial-boundary value problems for parabolic systems in bounded plane domains with nonsmooth lateral boundaries ⋮ Volume potential and initial-boundary value problems for parabolic systems with Dini continuous coefficients in the plane ⋮ On the smoothness of the Poisson potential for second-order parabolic systems on the plane ⋮ Estimates for the derivative of parabolic simple layer potential in the Dini space ⋮ Dirichlet problem for parabolic systems with Dini continuous coefficients ⋮ Regularity of solution to the Cauchy problem for parabolic equation in the Dini space ⋮ Smoothness in the dini space of a single layer potential for a parabolic system in the plane

Cites Work

• Étude de la solution fondamentale de l'équation parabolique
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