An Introduction to Semilinear Evolution Equations

Thierry Cazenave, Alain Haraux (Autoren)

Buch | Hardcover

204 Seiten

1998
Oxford University Press (Verlag)
978-0-19-850277-7 (ISBN)

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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.

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 graduate students in mathematical analysis, as well as professional applied mathematicians.

Contents ; Introduction ; 1. Preliminary results ; 2. m-dissipative operators ; 3. The Hille-Yosida-Phillips Theorem and applications ; 4. Nonhomogeneous equations and abstract semilinear problems ; 5. The heat equation ; 6. The Klein-Gordon equation ; 7. The Schrodinger equation ; 8. Bounds on global solutions ; 9. The invariance principle and some applications ; 10. Stability of stationary solutions ; 11. Comments ; Bibliography ; Notation ; Index

Erscheint lt. Verlag	29.10.1998
Reihe/Serie	Oxford Lecture Series in Mathematics and Its Applications ; 13
Übersetzer	Yvan Martel
Verlagsort	Oxford
Sprache	englisch
Maße	160 x 241 mm
Gewicht	435 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
ISBN-10	0-19-850277-X / 019850277X
ISBN-13	978-0-19-850277-7 / 9780198502777
Zustand	Neuware