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Cauchy-Neumann problem for a class of nondiagonal parabolic systems with quadratic nonlinearities II. Local and global solvability results. / Arkhipova, A.
в: Commentationes Mathematicae Universitatis Carolinae, Том 42, № 1, 01.01.2001, стр. 53-76.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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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