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[null,"1.","Record Nr.",null,"UNINA9910633918803321"]
[null,null,"Titolo",null,"Qualitative Properties of Dispersive PDEs / / edited by Vladimir Georgiev, Alessandro Michelangeli, Raffaele Scandone"]
[null,null,"Pubbl/distr/stampa",null,"Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2022"]
[null,null,"ISBN",null,"981-19-6434-3"]
[null,null,"Edizione",null,"[1st ed. 2022.]"]
[null,null,"Descrizione fisica",null,"1 online resource (246 pages)"]
[null,null,"Collana",null,"Springer INdAM Series, , 2281-5198 ; ; 52"]
[null,null,"Disciplina",null,"515.35"]
[null,null,"Soggetti",null,"Differential equations"]
[{"$nulls":4},"Functional analysis"]
[{"$nulls":4},"Differential Equations"]
[{"$nulls":4},"Functional Analysis"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Part I: Long-time behavior of NLS-type equations -- 1 Scipio Cuccagna, Note on small data soliton selection for nonlinear Schrödinger equations with potential -- 2 Jacopo Bellazzini and Luigi Forcella, Dynamics of solutions to the Gross-Pitaevskii equation describing dipolar Bose-Einstein condensates -- Part II: Probabilistic and nonstandard methods in the study of NLS equations -- 3 Renato Luca, Almost sure pointwise convergence of the cubic nonlinear Schrödinger equation on T^2 -- 4 Nevena Dugandžija and Ivana Vojnović, Nonlinear Schrödinger equation with singularities -- Part III: Dispersive properties -- 5 Vladimir Georgiev, Alessandro Michelangeli, Raffaele Scandone, Schrödinger flow's dispersive estimates in a regime of re-scaled potentials -- 6 Federico Cacciafesta, Eric Sere, Junyong Zhang, Dispersive estimates for the Dirac-Coulomb equation -- 7 Matteo Gallone, Alessandro Michelangeli, Eugenio Pozzoli, Heat equation with inverse-square potential of bridging type across twohalf-lines -- Part IV: Wave and Kdv-type equations -- 8 Felice Iandoli, On the Cauchy problem for quasi-linear Hamiltonian KdV-type equations -- 9 Vladimir Georgiev and Sandra Lucente, Linear and nonlinear interaction for wave equations with time variable coefficients -- 10 Matteo Gallone and Antonio Ponno, Hamiltonian field theory close to the wave equation: from Fermi-Pasta-Ulam to water waves."]
[null,null,null,"Sommario/riassunto","This book provides a valuable collection of contributions by distinguished scholars presenting the state of the art and some of the "]
[{"$nulls":4},"most significant latest developments and future challenges in the field of dispersive partial differential equations. The material covers four major lines: (1) Long time behaviour of NLS-type equations, (2) probabilistic and nonstandard methods in the study of NLS equation, (3) dispersive properties for heat-, Schrödinger-, and Dirac-type flows, (4) wave and KdV-type equations. Across a variety of applications an amount of crucial mathematical tools are discussed, whose applicability and versatility goes beyond the specific models presented here. Furthermore, all contributions include updated and comparative literature."]