Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations

Paperback Engels 2014 9783642442483
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This thesis is devoted to the study of the asymptotic behavior of singularly perturbed partial differential equations and some related free boundary problems arising from these two problems. We study the free boundary problems in the singulary limit and give some characterizations, and use this to study the dynamical behavior of competing species when the competition is strong. These results have many applications in physics and biology.

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ISBN13:9783642442483
Taal:Engels
Bindwijze:paperback
Uitgever:Springer Berlin Heidelberg

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Inhoudsopgave

Foreword.- Acknowledgements.- Introduction.- Uniqueness, Stability and Uniform Lipschitz Estimates.- Uniqueness in the Singular Limit.- The Dynamics of One Dimensional Singular Limiting Problem.- Approximate Clean Up Lemma.- Asymptotics in Strong Competition.- The Limited Equation of a Singular Perturbed System.- Reference.- Index.​

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        Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations