On parabolic final value problems and well-posedness

DOI10.1016/J.CRMA.2018.01.019zbMath1432.35245arXiv1708.06936OpenAlexW2750472475MaRDI QIDQ1704671

Ann-Eva Christensen, Johnsen, Jon.

Publication date: 12 March 2018

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.06936

zbMATH Keywords

heat equationwell-posednesscompatibility conditionabstract evolution equationfinal value problem

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Heat equation (35K05) Inverse problems for PDEs (35R30)

Related Items (6)

On a criterion for log-convex decay in non-selfadjoint dynamics ⋮ 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 ⋮ Well-posed final value problems and Duhamel's formula for coercive Lax-Milgram operators ⋮ A note on time analyticity for ancient solutions of the heat equation ⋮ Final value problems for parabolic differential equations and their well-posedness

Cites Work

• Solution of parabolic pseudo-differential initial-boundary value problems
• Numerical solution of the equation of heat conduction for preceding times
• The final value problem for evolution equations
• A Well Posed Problem for the Backward Heat Equation
• On the Spectrum of Non-Selfadjoint Schrödinger Operators with Compact Resolvent
• On unbounded hyponormal operators III
• Sur l'unicité réctrograde dans les problèmes mixtes paraboliques.
• The Complex Airy Operator on the Line with a Semipermeable Barrier
• Inverse problems for partial differential equations
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