Articles liés à Nonlinear Wave Equations

9783662572504: Nonlinear Wave Equations

Synopsis

This book focuses on nonlinear wave equations, which are of considerable significance from both physical and theoretical perspectives. It also presents complete results on the lower bound estimates of lifespan (including the global existence), which are established for classical solutions to the Cauchy problem of nonlinear wave equations with small initial data in all possible space dimensions and with all possible integer powers of nonlinear terms.

Further, the book proposes the global iteration method, which offers a unified and straightforward approach for treating these kinds of problems. Purely based on the properties of solut

ions to the corresponding linear problems, the method simply applies the contraction mapping principle.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

Tatien Li is a professor at Fudan University; he is also a member of the Chinese Academy of Sciences and a foreign member of the French Academy of Science while Bopeng Rao is a professor at Strasbourg University. Both authors are specialists of control theory.

À propos de la quatrième de couverture

This book focuses on nonlinear wave equations, which are of considerable significance from both physical and theoretical perspectives. It also presents complete results on the lower bound estimates of lifespan (including the global existence), which are established for classical solutions to the Cauchy problem of nonlinear wave equations with small initial data in all possible space dimensions and with all possible integer powers of nonlinear terms.

Further, the book proposes the global iteration method, which offers a unified and straightforward approach for treating these kinds of problems. Purely based on the properties of solut

ions to the corresponding linear problems, the method simply applies the contraction mapping principle.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.