Standard

Cauchy-Neumann problem for a class of nondiagonal parabolic systems with quadratic nonlinearities II. Local and global solvability results. / Arkhipova, A.

In: Commentationes Mathematicae Universitatis Carolinae, Vol. 42, No. 1, 01.01.2001, p. 53-76.

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

Harvard

Arkhipova, A 2001, 'Cauchy-Neumann problem for a class of nondiagonal parabolic systems with quadratic nonlinearities II. Local and global solvability results', Commentationes Mathematicae Universitatis Carolinae, vol. 42, no. 1, pp. 53-76.

APA

Arkhipova, A. (2001). Cauchy-Neumann problem for a class of nondiagonal parabolic systems with quadratic nonlinearities II. Local and global solvability results. Commentationes Mathematicae Universitatis Carolinae, 42(1), 53-76.

Vancouver

Arkhipova A. Cauchy-Neumann problem for a class of nondiagonal parabolic systems with quadratic nonlinearities II. Local and global solvability results. Commentationes Mathematicae Universitatis Carolinae. 2001 Jan 1;42(1):53-76.

Author

Arkhipova, A. / Cauchy-Neumann problem for a class of nondiagonal parabolic systems with quadratic nonlinearities II. Local and global solvability results. In: Commentationes Mathematicae Universitatis Carolinae. 2001 ; Vol. 42, No. 1. pp. 53-76.

BibTeX

@article{bc608a43eb41433fb33e41915b6a0bae,
title = "Cauchy-Neumann problem for a class of nondiagonal parabolic systems with quadratic nonlinearities II. Local and global solvability results",
abstract = "We prove local in time solvability of the nonlinear initial-boundary problem to nonlinear nondiagonal parabolic systems of equations (multidimensional case). No growth restrictions are assumed on generating the system functions. In the case of two spatial variables we construct the global in time solution to the Cauchy-Neumann problem for a class of nondiagonal parabolic systems. The solution is smooth almost everywhere and has an at most finite number of singular points.",
keywords = "Boundary value problem, Nonlinear parabolic systems, Solvability",
author = "A. Arkhipova",
year = "2001",
month = jan,
day = "1",
language = "English",
volume = "42",
pages = "53--76",
journal = "Commentationes Mathematicae Universitatis Carolinae",
issn = "0010-2628",
publisher = "Charles University in Prague",
number = "1",

}

RIS

TY - JOUR

T1 - Cauchy-Neumann problem for a class of nondiagonal parabolic systems with quadratic nonlinearities II. Local and global solvability results

AU - Arkhipova, A.

PY - 2001/1/1

Y1 - 2001/1/1

N2 - We prove local in time solvability of the nonlinear initial-boundary problem to nonlinear nondiagonal parabolic systems of equations (multidimensional case). No growth restrictions are assumed on generating the system functions. In the case of two spatial variables we construct the global in time solution to the Cauchy-Neumann problem for a class of nondiagonal parabolic systems. The solution is smooth almost everywhere and has an at most finite number of singular points.

AB - We prove local in time solvability of the nonlinear initial-boundary problem to nonlinear nondiagonal parabolic systems of equations (multidimensional case). No growth restrictions are assumed on generating the system functions. In the case of two spatial variables we construct the global in time solution to the Cauchy-Neumann problem for a class of nondiagonal parabolic systems. The solution is smooth almost everywhere and has an at most finite number of singular points.

KW - Boundary value problem

KW - Nonlinear parabolic systems

KW - Solvability

UR - http://www.scopus.com/inward/record.url?scp=18144391121&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:18144391121

VL - 42

SP - 53

EP - 76

JO - Commentationes Mathematicae Universitatis Carolinae

JF - Commentationes Mathematicae Universitatis Carolinae

SN - 0010-2628

IS - 1

ER -

ID: 51917943