00958nam2-2200337---450-99000369124020331620120925124035.0000369124USA01000369124(ALEPH)000369124USA0100036912420120925d1932----km-y0itay50------baitaITa---||||001yy<< 1:>> Meccanica - CaloreEligio PeruccaTorinoUTET1932XVI, 647 p.ill.25 cm0010003291782001Fisica generale e sperimentaleFisicaBNCF530.1PERUCCIA,Eligio605312ITsalbcISBD990003691240203316530.1 PER 1 1237520 Ing.530.100316563BKTECIANNONE9020120925USA011237IANNONE9020120925USA011240Meccanica - calore1117847UNISA03231nam 22006135 450 991025429090332120200706152835.03-662-55725-810.1007/978-3-662-55725-9(CKB)4340000000223611(DE-He213)978-3-662-55725-9(MiAaPQ)EBC5162658(PPN)221247661(EXLCZ)99434000000022361120171125d2017 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierNonlinear Wave Equations /by Tatsien Li, Yi Zhou1st ed. 2017.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2017.1 online resource (XVI, 391 p. 2 illus.) Series in Contemporary Mathematics,2364-009X ;23-662-55723-1 Includes bibliographical references and index.Introduction -- Linear Wave functions -- Sobolev inequality with Decay -- Estimates for solutions for linear wave equation -- Estimates for composition Function.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.Series in Contemporary Mathematics,2364-009X ;2Differential equations, PartialDifference equationsFunctional equationsCalculus of variationsPartial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Difference and Functional Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12031Calculus of Variations and Optimal Control; Optimizationhttps://scigraph.springernature.com/ontologies/product-market-codes/M26016Differential equations, Partial.Difference equations.Functional equations.Calculus of variations.Partial Differential Equations.Difference and Functional Equations.Calculus of Variations and Optimal Control; Optimization.515.625Li Tatsienauthttp://id.loc.gov/vocabulary/relators/aut755910Zhou Yiauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910254290903321Nonlinear Wave Equations2028762UNINA