Blow-up Theories for Semilinear Parabolic Equations

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Paperback, 127 blz. | Engels
Springer Berlin Heidelberg | 2011e druk, 2011
ISBN13: 9783642184598
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Springer Berlin Heidelberg 2011e druk, 2011 9783642184598
Onderdeel van serie Lecture Notes in Mathematics
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Samenvatting

There is an enormous amount of work in the literature about the blow-up behavior of evolution equations. It is our intention to introduce the theory by emphasizing the methods while seeking to avoid massive technical computations. To reach this goal, we use the simplest equation to illustrate the methods; these methods very often apply to more general equations.

Specificaties

ISBN13:9783642184598
Taal:Engels
Bindwijze:paperback
Aantal pagina's:127
Uitgever:Springer Berlin Heidelberg
Druk:2011

Inhoudsopgave

1 Introduction.- 2 A review of elliptic theories.- 3 A review of parabolic theories.- 4 A review of fixed point theorems.-5 Finite time Blow-up for evolution equations.- 6 Steady-State solutions.- 7 Blow-up rate.- 8 Asymptotically self-similar blow-up solutions.- 9 One space variable case
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        Blow-up Theories for Semilinear Parabolic Equations