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The maximum principle and local Lipschitz estimates near the laterial boundary for solutions of second-order parabolic equations

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Publication:1230180
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DOI10.1007/BF00967385zbMath0336.35054MaRDI QIDQ1230180

L. I. Kamynin, B. N. Khimchenko

Publication date: 1976

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



Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Initial-boundary value problems for second-order parabolic equations (35K20)


Related Items

Poisson potential in the first initial-boundary value problem for a parabolic system in a semibounded domain on the plane, On the unique solvability of initial-boundary value problems for parabolic systems in bounded plane domains with nonsmooth lateral boundaries



Cites Work

  • The principle of the maximum and boundary Lipschitz bounds for the solution of a second order elliptic-parabolic equation
  • Analogs of Giraud's theorem for a second-order parabolic equation
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