Introduction to Nonlinear Dispersive Equations
This textbook introduces the well-posedness theory for initial-value problems of nonlinear, dispersive partial differential equations, with special focus on two key models, the Korteweg–de Vries equation and the nonlinear Schrödinger equation. A concise a
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Series Editors Sheldon Axler Department of Mathematics, San Francisco State University, San Francisco, California, USA Vincenzo Capasso Dipartimento di Matematica, Università degli Studi di Milano, Milano, Italy Carles Casacuberta Depto. Àlgebra i Geometria, Universitat de Barcelona, Barcelona, Spain Angus MacIntyre Queen Mary University of London, London, United Kingdom Kenneth Ribet Department of Mathematics, University of California, Berkeley, California, USA Claude Sabbah CNRS, Ecole polytechnique Centre de mathématiques, Palaiseau, France Endre Süli Worcester College, University of Oxford, Oxford, United Kingdom Wojbor A. Woyczynski Department of Mathematics, Case Western Reserve University, Cleveland, Ohio, USA
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Felipe Linares • Gustavo Ponce
Introduction to Nonlinear Dispersive Equations
2123
Felipe Linares Instituto Nacional de Matemática Pura e Aplicada (IMPA) Rio de Janeiro Rio de Janeiro Brazil
ISSN 0172-5939 Universitext ISBN 978-1-4939-2180-5 DOI 10.1007/978-1-4939-2181-2
Gustavo Ponce Dept. Mathematics University of California, Santa Barbara College of Letters & Science Santa Barbara California USA
ISSN 2191-6675 (electronic) ISBN 978-1-4939-2181-2 (eBook)
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