A priori estimates and unique continuation theorems for second order parabolic equations-Reference-Cited by-同舟云学术

A priori estimates and unique continuation theorems for second order parabolic equations

Published:1971 Issue:1 Volume:158 Page:167-177
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Johnson Raymond

Abstract

It is shown that solutions of second-order linear parabolic equations subject to global constraint satisfy an a priori estimate which has among its consequences that if a solution of such an equation vanishes on the characteristic t = T t = T and satisfies the global constraint, it vanishes identically.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1971-158-01/S0002-9947-1971-0277897-8/S0002-9947-1971-0277897-8.pdf

Reference16 articles.

1. Properties of solutions of ordinary differential equations in Banach space;Agmon, S.;Comm. Pure Appl. Math.,1963

2. Lower bounds and uniqueness theorems for solutions of differential equations in a Hilbert space;Agmon, S.;Comm. Pure Appl. Math.,1967

3. The approximation of harmonic and parabolic functions on half-spaces from interior data;Cannon, J. R.,1968

4. Some properties of the solutions of a second order linear parabolic equation;Glagoleva, R. Ja.;Mat. Sb. (N.S.),1967

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