This book presents in a self-contained form the typical basic properties of solutions to semilinear evolutionary partial differential equations, with special emphasis on global properties. It considers important examples, including the heat, Klein-Gordon, and Schroödinger equations, placing each in the analytical framework which allows the most striking statement of the key properties. With the exceptions of the treatment of the Schroödinger equation, the book employs the most standard methods, each developed in enough generality to cover other cases. This new edition includes a chapter on stability, which contains partial answers to recent questions about the global behavior of solutions. The self-contained treatment and emphasis on central concepts make this text useful to a wide range of applied mathematicians and theoretical researchers.
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Thierry Cazenave and Alain Haraux are both at CNRS and University of Paris VI. Yvan Martel is at University of Cergy Pontoise.
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Hardcover. Condition: new. Hardcover. This book presents an upper level text on semilinear evolutionary partial differential equations aimed at the graduate and postgraduate level. Cazenave and Haraux present in a self-contained way, the typical basic properties of solutions to semi-linear evolutionary partial differential equations, with special emphasis on global properties. The main objective of this book is to provide a didactic approach to the subject , and the main readership will be graduatestudents in mathematical analysis, as well as professional applied mathematicians. This book presents in a self-contained form the typical basic properties of solutions to semilinear evolutionary partial differential equations, with special emphasis on global properties. It has a didactic ambition and will be useful for an applied readership as well as theoretical researchers. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9780198502777
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