Initial-oblique derivative problem for nonlinear parabolic systems in high dimensional domains

Guo Chun Wen; Dechang Chen; Xiuzhen Cheng

doi:10.1016/j.cnsns.2006.12.005

Initial-oblique derivative problem for nonlinear parabolic systems in high dimensional domains

Guo Chun Wen^*, Dechang Chen, Xiuzhen Cheng

^*Corresponding author for this work

Epidemiology and Biostatistics

Research output: Contribution to journal › Article › peer-review

Abstract

This paper deals with the initial-oblique derivative boundary value problem for nonlinear nondivergent parabolic systems of second-order equations in high dimensional domains with coefficients measurable in multiply connected domains. The formulation and estimates of solutions for the initial-boundary value problem are given. The solvability of the problem is derived.

Original language	English
Pages (from-to)	1272-1280
Number of pages	9
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	13
Issue number	7
DOIs	https://doi.org/10.1016/j.cnsns.2006.12.005
State	Published - Sep 2008

Keywords

High dimensional domains
Initial-oblique derivative problem
Nonlinear parabolic systems

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10.1016/j.cnsns.2006.12.005

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title = "Initial-oblique derivative problem for nonlinear parabolic systems in high dimensional domains",

abstract = "This paper deals with the initial-oblique derivative boundary value problem for nonlinear nondivergent parabolic systems of second-order equations in high dimensional domains with coefficients measurable in multiply connected domains. The formulation and estimates of solutions for the initial-boundary value problem are given. The solvability of the problem is derived.",

keywords = "High dimensional domains, Initial-oblique derivative problem, Nonlinear parabolic systems",

author = "Wen, {Guo Chun} and Dechang Chen and Xiuzhen Cheng",

note = "Funding Information: This work was supported by the National Natural Science Foundation of China (No. 10671207).",

year = "2008",

month = sep,

doi = "10.1016/j.cnsns.2006.12.005",

language = "English",

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T1 - Initial-oblique derivative problem for nonlinear parabolic systems in high dimensional domains

AU - Wen, Guo Chun

AU - Chen, Dechang

AU - Cheng, Xiuzhen

N1 - Funding Information: This work was supported by the National Natural Science Foundation of China (No. 10671207).

PY - 2008/9

Y1 - 2008/9

N2 - This paper deals with the initial-oblique derivative boundary value problem for nonlinear nondivergent parabolic systems of second-order equations in high dimensional domains with coefficients measurable in multiply connected domains. The formulation and estimates of solutions for the initial-boundary value problem are given. The solvability of the problem is derived.

AB - This paper deals with the initial-oblique derivative boundary value problem for nonlinear nondivergent parabolic systems of second-order equations in high dimensional domains with coefficients measurable in multiply connected domains. The formulation and estimates of solutions for the initial-boundary value problem are given. The solvability of the problem is derived.

KW - High dimensional domains

KW - Initial-oblique derivative problem

KW - Nonlinear parabolic systems

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U2 - 10.1016/j.cnsns.2006.12.005

DO - 10.1016/j.cnsns.2006.12.005

M3 - Article

AN - SCOPUS:38049041467

SN - 1007-5704

VL - 13

SP - 1272

EP - 1280

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 7

ER -

Initial-oblique derivative problem for nonlinear parabolic systems in high dimensional domains

Abstract

Keywords

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