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2012 ON THE SMOOTHNESS OF THE SOLUTION FOR THE INITIAL-NEUMANN PROBLEM FOR THE HYPERBOLIC SYSTEMS IN LIPSCHITZ CYLINDERS
Nguyen Manh Hung, Phung Kim Chuc
Taiwanese J. Math. 16(5): 1629-1645 (2012). DOI: 10.11650/twjm/1500406788

Abstract

In this paper, we study the second initial boundary value problem for strongly hyperbolic systems in cylinders with Lipschitz base. We investigate the unique solvability of the problem and the smoothness with respect to time of the generanized solution.

Citation

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Nguyen Manh Hung. Phung Kim Chuc. "ON THE SMOOTHNESS OF THE SOLUTION FOR THE INITIAL-NEUMANN PROBLEM FOR THE HYPERBOLIC SYSTEMS IN LIPSCHITZ CYLINDERS." Taiwanese J. Math. 16 (5) 1629 - 1645, 2012. https://doi.org/10.11650/twjm/1500406788

Information

Published: 2012
First available in Project Euclid: 18 July 2017

zbMATH: 1251.35043
MathSciNet: MR2970676
Digital Object Identifier: 10.11650/twjm/1500406788

Subjects:
Primary: 35D05 , 35D10 , 35G99

Keywords: generalized solution , Lipschitz cylinders , second initial boundary value problem

Rights: Copyright © 2012 The Mathematical Society of the Republic of China

Vol.16 • No. 5 • 2012
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