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2008 THE CAUCHY-NEUMANN PROBLEM FOR PARABOLIC EQUATIONS IN DOMAINS WITH CONICAL POINTS
Nguyen Manh Hung, Nguyen Thanh Anh
Taiwanese J. Math. 12(7): 1849-1864 (2008). DOI: 10.11650/twjm/1500405092

Abstract

The purpose of this paper is to establish the well-posedness and the regularity of solutions of the Cauchy-Neumann problem for second order parabolic equations in cylinders with the base containing conical points.

Citation

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Nguyen Manh Hung. Nguyen Thanh Anh. "THE CAUCHY-NEUMANN PROBLEM FOR PARABOLIC EQUATIONS IN DOMAINS WITH CONICAL POINTS." Taiwanese J. Math. 12 (7) 1849 - 1864, 2008. https://doi.org/10.11650/twjm/1500405092

Information

Published: 2008
First available in Project Euclid: 18 July 2017

zbMATH: 1172.35353
MathSciNet: MR2449669
Digital Object Identifier: 10.11650/twjm/1500405092

Subjects:
Primary: 35D05 , 35D10 , 35G10 , 35K25

Keywords: generalized solutions , initial boundary value problem , nonsmooth domains , parabolic equation , regularity

Rights: Copyright © 2008 The Mathematical Society of the Republic of China

Vol.12 • No. 7 • 2008
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