A Priori Estimates and Unique Continuation Theorems for Second Order Parabolic Equations

DOI10.2307/1995779zbMath0218.35045OpenAlexW4249005175MaRDI QIDQ5622648

Raymond L.Johnson

Publication date: 1971

Full work available at URL: https://doi.org/10.2307/1995779

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Continuation and prolongation of solutions to PDEs (35B60) Second-order parabolic equations (35K10)

Related Items (2)

A comparative study on applying the method of fundamental solutions to the backward heat conduction problem ⋮ Backwards uniqueness in time for solutions of possibly degenerate equations of parabolic type

Cites Work

• Unnamed Item
• A unique continuation theorem for solutions of a parabolic differential equation
• Classes of solutions of linear systems of partial differential equations of parabolic type
• Representation theorems for linear second-order parabolic partial differential equations
• Le problème de Cauchy pour le passé pour quelques équations paraboliques
• An abstract analyticity in time for solutions of a diffusion equation
• SOME PROBLEMS OF THE QUALITATIVE THEORY OF SECOND ORDER ELLIPTIC EQUATIONS (CASE OF SEVERAL INDEPENDENT VARIABLES)
• Lower Bounds and Uniqueness Theorems for Solutions of Differential Equations in a Hilbert Space
• Representation Theorems and Fatou Theorems for Second-Order Linear Parabolic Partial Differential Equations
• Properties of solutions of ordinary differential equations in banach space
• Positive Temperatures on an Infinite Rod

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