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Asymptotic Analysis For Nonlinear Dispersive And Wave Equations - Proceedings Of The International Conference [Hardback]

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  • Formāts: Hardback, 300 pages
  • Sērija : Advanced Studies in Pure Mathematics 81
  • Izdošanas datums: 23-Mar-2020
  • Izdevniecība: Mathematical Society of Japan
  • ISBN-10: 4864970815
  • ISBN-13: 9784864970815
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  • Hardback
  • Cena: 93,73 €
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  • Formāts: Hardback, 300 pages
  • Sērija : Advanced Studies in Pure Mathematics 81
  • Izdošanas datums: 23-Mar-2020
  • Izdevniecība: Mathematical Society of Japan
  • ISBN-10: 4864970815
  • ISBN-13: 9784864970815
Citas grāmatas par šo tēmu:
This volume is edited as the proceedings of the international conference 'Asymptotic Analysis for Nonlinear Dispersive and Wave Equations' held in September, 2014 at Department of Mathematics, Osaka University, Osaka, Japan. The conference was devoted to the honor of Professor Nakao Hayashi (Osaka University) on the occasion of his 60th birth year, and includes the newest results up to 2017 related to the fields of nonlinear partial differential equations of hyperbolic and dispersive type. In particular, the asymptotic expansion of solutions for those equations has been the main contribution of Professor Hayashi and his collaborators. The contents is 18 papers related to the asymptotic analysis and qualitative research paper concerning the problems of nonlinear wave equations and nonlinear dispersive equations such as nonlinear Schrödinger equations, the Hartree equation, the Camassa-Holm equation, the Ginzburg-Landau equations. Among others, the outstanding method developed by Professor Hayashi and his collaborators is introduced by one of his main collaborator, Professor P I Naumkin.This volume is suitable for any students and young researchers who are starting the research on the asymptotic analysis of nonlinear wave and dispersive equations for knowing the out-lined theory of these fields.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America
Remarks on the Mizohata-Takeuchi conjecture and related problems
1(12)
Neal Bez
Mitsuru Sugimoto
Asymptotics for the Schrodinger equation with a repulsive delta potential and a long-range dissipative nonlinearity
13(18)
Masahiro Ikeda
The sharp lower bound of the lifespan of solutions to semilinear wave equations with low powers in two space dimensions
31(24)
Takuto Imai
Masakazu kato
Hiroyuki takamura
Kyouhei Wakasa
Remarks on the asymptotic behavior of global solutions to systems of semilinear wave equations
55(30)
Soichiro Katayama
Instability of standing waves for a system of nonlinear Schrodinger equations in a degenerate case
85(16)
Shotaro Kawahara
Masahito Ohta
Energy structure and asymptotic profile of the linearized system of thermo-elastic equation in lower space dimensions
101(20)
Yuki Kimura
Takayoshi Ogawa
Decay estimate and asymptotic behavior of small solutions to Schrodinger equations with subcritical dissipative nonlincarity
121(18)
Naoyasu Kita
Yoshihisa Nakamura
Modification of the vector-field method related to quadratically perturbed wave equations in two space dimensions
139(34)
Hideo Kubo
Remarks on derivative nonlinear Schrodinger systems with multiple masses
173(24)
Chunhua Li
Hideaki Sunagawa
Properties of solutions to the Camassa-Holm equation on the line in a class containing the peakons
197(50)
Felipe Linares
Gustavo Ponce
Thomas C. Sideris
Remarks on the Hardy type inequalities with remainder terms in the framework of equalities
247(12)
Shuji Machihara
Tohru Ozawa
Hidemitsu Wadade
On the scattering problem of mass-subcritical Hartree equation
259(52)
Satoshi Masaki
Global solutions for nonlinear Schrodinger equations in de Sitter spacetime
311(12)
Makoto Nakamura
On the factorization technique for the dispersive nonlinear equations
323(28)
Pavel I. Naumkin
Remark on the scattering operator for the quintic nonlinear Dirac equation in one space dimension
351(24)
Hironobu Sasaki
Blowup for a complex Ginzburg-Landau equation focusing on the parabolicity
375(14)
Takuya Tomidokoro
Tomomi Yokota
Kato type smoothing estimates for magnetic Schrodinger equations with rough potentials
389(12)
Takeshi Wada
Second order asymptotic expansion for wave equations with time-dependent dissipation in one-space dimension
401
Yuta wakasugi
Keiichi Kato, Tokyo University of Science, Japan.

Takayoshi Ogawa, Tohoku University, Japan.

Tohru Ozawa, Waseda University, Japan