The Cauchy Problem for the Fractional Kadomtsev--Petviashvili Equations

Autor:	Felipe Linares, Jean-Claude Saut, Didier Pilod
Rok vydání:	2018
Předmět:	Cauchy problem Cauchy's convergence test Applied Mathematics 010102 general mathematics Mathematical analysis Mathematics::Analysis of PDEs 01 natural sciences 35Q53 35Q35 35A01 Fractional calculus 010101 applied mathematics Computational Mathematics Mathematics - Analysis of PDEs Nonlinear Sciences::Exactly Solvable and Integrable Systems FOS: Mathematics Applied mathematics Cauchy principal value Cauchy boundary condition 0101 mathematics Cauchy's integral theorem Nonlinear Sciences::Pattern Formation and Solitons Analysis Cauchy matrix Cauchy's integral formula Analysis of PDEs (math.AP) Mathematics
Zdroj:	SIAM Journal on Mathematical Analysis. 50:3172-3209
ISSN:	1095-7154 0036-1410
DOI:	10.1137/17m1145379
Popis:	The aim of this paper is to prove various ill-posedness and well-posedness results on the Cauchy problem associated to a class of fractional Kadomtsev-Petviashvili (KP) equations including the KP version of the Benjamin-Ono and Intermediate Long Wave equations. 42 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::493ca4a1ea77f9e8469baae9f3ef2c40 https://doi.org/10.1137/17m1145379 Zobrazit plný text záznamu