Well-posedness of Semilinear Heat Equations with Iterated Logarithms View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1999

AUTHORS

Paolo Albano , Piermarco Cannarsa , Vilmos Komornik

ABSTRACT

A global existence and uniqueness result is obtained for a semilinear parabolic equation of the form ut = ∆u + f(u) + h. The nonlinear term f is assumed to satisfy a suitable growth condition at ∞, that allows superlinear growth of |f|. An example is given to show the optimality of our growth assumption on f. More... »

PAGES

1-11

Book

TITLE

Optimal Control of Partial Differential Equations

ISBN

978-3-0348-9731-0
978-3-0348-8691-8

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-0348-8691-8_1

DOI

http://dx.doi.org/10.1007/978-3-0348-8691-8_1

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1014280388


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