Free boundary problems and asymptotic behavior of singularly perturbed partial differential equations
著者
書誌事項
Free boundary problems and asymptotic behavior of singularly perturbed partial differential equations
（Springer theses : recognizing outstanding Ph. D. research）
Springer, c2013
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
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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