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March/April 2021 An apparently unnatural estimate about forward-backward parabolic equations
Fabio Paronetto
Adv. Differential Equations 26(3/4): 133-162 (March/April 2021).

Abstract

In this note we come back to face a problem regarding forward-backward parabolic equations like $(r(x,t) u)_t - u_{xx} = 0$ and $r(x,t) u_t - u_{xx} = 0$ ($r$ is both positive and negative): the continuity of $t \mapsto \int u^2(x,t) |r(x,t)| \, dx$.

Citation

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Fabio Paronetto. "An apparently unnatural estimate about forward-backward parabolic equations." Adv. Differential Equations 26 (3/4) 133 - 162, March/April 2021.

Information

Published: March/April 2021
First available in Project Euclid: 5 May 2021

Subjects:
Primary: 35K90 , 35M10

Rights: Copyright © 2021 Khayyam Publishing, Inc.

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Vol.26 • No. 3/4 • March/April 2021
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