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Classical Global Solutions for Non‐linear Klein–Gordon–Schrödinger Equations
Author(s) -
Wang Baoxiang
Publication year - 1997
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(19970510)20:7<599::aid-mma866>3.0.co;2-7
Subject(s) - klein–gordon equation , mathematics , space (punctuation) , mathematical physics , schrödinger's cat , nonlinear system , mathematical analysis , physics , quantum mechanics , computer science , operating system
The existence of the classical global solutions for the non‐linear Klein–Gordon–Schrödinger equations is proved in H 1 ‐subcritical cases for space dimensions n ⩽5. For higher space dimensions 6⩽ n ⩽9, we will give a subsequent paper to deal with. © 1997 by B. G. Teubner Stuttgart–John Wiley & Sons Ltd.