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On global well-posedness for nonlinear semirelativistic equations in some scaling subcritical and critical cases

  • Published:2020-04 Issue: Volume:136 Page:239-256
  • ISSN:0021-7824
  • Container-title:Journal de Mathématiques Pures et Appliquées
  • language:en
  • Short-container-title:Journal de Mathématiques Pures et Appliquées

Author:

Fujiwara Kazumasa,Georgiev Vladimir,Ozawa Tohru

Funder

Waseda University

JSPS

Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni

Bulgarian Academy of Sciences

University of Pisa

Fondazione di Sardegna

Grants-in-Aid for Scientific Research

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics

Reference21 articles.

1. Mathematical phase model of neural populations interaction in modulation of REM/NREM sleep;Acquistapace;Math. Model. Anal.,2016

2. Long time dynamics for semi-relativistic NLS and half wave in arbitrary dimension;Bellazzini;Math. Ann.,2018

3. Semilinear Schrödinger Equations;Cazenave,2003

4. Some remarks on the nonlinear Schrödinger equation in the critical case;Cazenave,1989

5. The Cauchy problem for the critical nonlinear Schrödinger equation in Hs;Cazenave;Nonlinear Anal.,1990

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2. On mass critical half-wave equation in 3D;EIGHTH INTERNATIONAL CONFERENCE NEW TRENDS IN THE APPLICATIONS OF DIFFERENTIAL EQUATIONS IN SCIENCES (NTADES2021);2022

3. Blowup dynamics for mass critical half-wave equation in 3D;Journal of Functional Analysis;2021-10

4. Concerning ill-posedness for semilinear wave equations;Calculus of Variations and Partial Differential Equations;2021-01-18

5. LOCAL WELL-POSEDNESS OF DIRAC EQUATIONS WITH NONLINEARITY DERIVED FROM HONEYCOMB STRUCTURE IN 2 DIMENSIONS;B KOREAN MATH SOC;2021
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