Nonlinear Nonlocal Equations in the Theory of Waves

Erscheinungsjahr 1994
ISBN: 978-0-8218-4573-8
Verlag: American Mathematical Society

Buch, Englisch, 289 Seiten, Format (B × H): 180 mm x 255 mm

This book is the first to concentrate on the theory of nonlinear nonlocal equations. The authors solve a number of problems concerning the asymptotic behavior of solutions of nonlinear evolution equations, the blow-up of solutions, and the global in time existence of solutions. In addition, a new classification of nonlinear nonlocal equations is introduced. A large class of these equations is treated by a single method, the main features of which are apriori estimates in different integral norms and use of the Fourier transform. This book will interest specialists in partial differential equations, as well as physicists and engineers.

* Text presents new ideas and solutions This book is the first to concentrate on the theory of nonlinear nonlocal equations. It will be of particular interest to specialists in partial differential equations, as well as physicists and engineers.

Autoren/Hrsg.

Shishmarev, I. A.

Naumkin, P. I.

Fachgebiete

• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
• Mathematik | Informatik Mathematik Mathematische Analysis