On the Cauchy Problem of Evolution P-Laplacian Equations with Strongly Non-linear Sources When 1 < p < 2

2001 ◽  
Vol 17 (3) ◽  
pp. 455-470 ◽  
Author(s):  
Jun Ning Zhao ◽  
Pei Dong Lei
Keyword(s):  
Cauchy Problem ◽  
Non Linear ◽  
The Cauchy Problem ◽  
Laplacian Equations

scholarly journals The cauchy problem for non-linear Klein-Gordon equations

1993 ◽  
Vol 152 (3) ◽  
pp. 433-478 ◽  
Author(s):  
Jacques C. H. Simon ◽  
Erik Taflin
Keyword(s):  
Cauchy Problem ◽  
Non Linear ◽  
The Cauchy Problem ◽  
Klein Gordon

Equations de Schrödinger non linéaires en dimension deux

1979 ◽  
Vol 84 (3-4) ◽  
pp. 327-346 ◽  
Author(s):  
Thierry Cazenave
Keyword(s):  
Cauchy Problem ◽  
Global Existence ◽  
Asymptotic Behaviour ◽  
Blow Up ◽  
Global Solutions ◽  
Two Dimensions ◽  
Linear Optics ◽  
Non Linear Optics ◽  
Non Linear ◽  
The Cauchy Problem

SynopsisThis paper is devoted to the study of some non linear Schrödinger equations in two dimensions, arising in non linear optics; in particular, it is concerned with solutions to the Cauchy problem. The problem of global existence and regularity of the solutions, the asymptotic behaviour of global solutions, and the blow-up of non global solutions are studied.

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