Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-21656
Amann, H (2005). Non-local quasilinear parabolic equations. Uspekhi Matematicheskikh Nauk, 60(6(366)):21-32.
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This is a survey of the most common approaches to quasi-linear parabolic evolution equations, a discussion of their advantages and drawbacks, and a presentation of an entirely new approach based on maximal $L_p$ regularity. The general results here apply, above all, to parabolic initial-boundary value problems that are non-local in time. This is illustrated by indicating their relevance for quasi-linear parabolic equations with memory and, in particular, for time-regularized versions of the Perona–Malik equation of image processing.
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|Item Type:||Journal Article, refereed, original work|
|Communities & Collections:||07 Faculty of Science > Institute of Mathematics|
|Dewey Decimal Classification:||510 Mathematics|
|Deposited On:||29 Jan 2010 12:36|
|Last Modified:||05 Apr 2016 13:24|
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