Well-posed final value problems and Duhamel's formula for coercive Lax-Milgram operators

DOI10.3934/ERA.2019008zbMath1439.35303arXiv1906.03117OpenAlexW2980182501MaRDI QIDQ1987526

Johnsen, Jon.

Publication date: 15 April 2020

Published in: Electronic Research Archive (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.03117

zbMATH Keywords

coercive operatorDuhamel formulawell-posedfinal value dataNeumann heat problem

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) One-parameter semigroups and linear evolution equations (47D06) Ill-posed problems for PDEs (35R25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (5)

Low regularity of solutions to the rotation-Camassa-Holm type equation with the Coriolis effect ⋮ On a criterion for log-convex decay in non-selfadjoint dynamics ⋮ On a final value problem for a nonlinear fractional pseudo-parabolic equation ⋮ A Class of Well-Posed Parabolic Final Value Problems ⋮ Isomorphic well-posedness of the final value problem for the heat equation with the homogeneous Neumann condition

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