Initial-Oblique derivative problem for nonlinear parabolic equations in high dimensional domains

Dechang Chen; Guochun Wen

Initial-Oblique derivative problem for nonlinear parabolic equations in high dimensional domains

Dechang Chen^*, Guochun Wen

^*Corresponding author for this work

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

4 Scopus citations

Abstract

In this paper, we discuss some initial-boundary value problems for nonlinear nondivergent parabolic equations of second order in high dimensional domains, where coefficients of equations are measurable in multiply connected domains. We focus on initial-oblique derivative problems. The estimates of solutions for the initial-boundary value problems are given, and then the solvability result is derived. The results in this paper are the development of the corresponding work in [1, 3, 4].

Original language	English
Pages (from-to)	8-19
Number of pages	12
Journal	International Journal of Applied Mathematics and Statistics
Volume	8
Issue number	MO7
State	Published - Mar 2007
Externally published	Yes

Keywords

High dimensional domains
Initial-oblique derivative problems
Nonlinear parabolic equations

Cite this

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title = "Initial-Oblique derivative problem for nonlinear parabolic equations in high dimensional domains",

abstract = "In this paper, we discuss some initial-boundary value problems for nonlinear nondivergent parabolic equations of second order in high dimensional domains, where coefficients of equations are measurable in multiply connected domains. We focus on initial-oblique derivative problems. The estimates of solutions for the initial-boundary value problems are given, and then the solvability result is derived. The results in this paper are the development of the corresponding work in [1, 3, 4].",

keywords = "High dimensional domains, Initial-oblique derivative problems, Nonlinear parabolic equations",

author = "Dechang Chen and Guochun Wen",

year = "2007",

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language = "English",

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journal = "International Journal of Applied Mathematics and Statistics",

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T1 - Initial-Oblique derivative problem for nonlinear parabolic equations in high dimensional domains

AU - Chen, Dechang

AU - Wen, Guochun

PY - 2007/3

Y1 - 2007/3

N2 - In this paper, we discuss some initial-boundary value problems for nonlinear nondivergent parabolic equations of second order in high dimensional domains, where coefficients of equations are measurable in multiply connected domains. We focus on initial-oblique derivative problems. The estimates of solutions for the initial-boundary value problems are given, and then the solvability result is derived. The results in this paper are the development of the corresponding work in [1, 3, 4].

AB - In this paper, we discuss some initial-boundary value problems for nonlinear nondivergent parabolic equations of second order in high dimensional domains, where coefficients of equations are measurable in multiply connected domains. We focus on initial-oblique derivative problems. The estimates of solutions for the initial-boundary value problems are given, and then the solvability result is derived. The results in this paper are the development of the corresponding work in [1, 3, 4].

KW - High dimensional domains

KW - Initial-oblique derivative problems

KW - Nonlinear parabolic equations

UR - http://www.scopus.com/inward/record.url?scp=84890774665&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84890774665

SN - 0973-1377

VL - 8

SP - 8

EP - 19

JO - International Journal of Applied Mathematics and Statistics

JF - International Journal of Applied Mathematics and Statistics

IS - MO7

ER -

Initial-Oblique derivative problem for nonlinear parabolic equations in high dimensional domains

Abstract

Keywords

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