Acta mathematica scientia,Series B

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EXISTENCE OF GLOBAL SMOOTH SOLUTION FOR SCALAR CONSERVATION LAWS WITH DEGENERATE VISCOSITY IN 2-DIMENSIONAL SPACE

Chen Jing; Xu Xuewen   

  1. Laboratory of Nonlinear Analysis, Department of Mathematics, Central China Normal University, Wuhan 430079, China
  • Received:2005-06-29 Revised:1900-01-01 Online:2007-04-20 Published:2007-04-20
  • Contact: Chen Jing

Abstract:

This article concerns the existence of global smooth solution for scalar conservation laws with degenerate viscosity in 2-dimensional space. The analysis is based on successive approximation and maximum principle.

Key words: Fourier transform, successive approximation, maximum principle

CLC Number: 

  • 35L65
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