Global Solvability of the Cauchy-Dirichlet problem for a class of strongly nonlinear parabolic systems

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Global Solvability of the Cauchy-Dirichlet problem for a class of strongly nonlinear parabolic systems. / Arkhipova, A. A. .

в: Journal of Mathematical Sciences, Том 250, № 2, 08.09.2020, стр. 201-231.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{4265dd964a5d44dc8a41eae1c70a1b53,

title = "Global Solvability of the Cauchy-Dirichlet problem for a class of strongly nonlinear parabolic systems",

abstract = "We consider a class of nonlinear parabolic systems for elliptic operators of variational structure with nondiagonal principal matrices. Additional terms in the systems can have quadratic growth with respect to the gradient and arbitrary polynomial growth with respect to solutions. We obtain sufficient conditions for the time-global weak solvability of the Cauchy–Dirichlet problem and study the regularity of the solution. The case of two spatial variables is considered.",

author = "Arkhipova, {A. A.}",

note = "Arkhipova, A.A. Global Solvability of the Cauchy-Dirichlet Problem for a Class of Strongly Nonlinear Parabolic Systems. J Math Sci 250, 201–231 (2020). https://doi.org/10.1007/s10958-020-05011-9",

year = "2020",

month = sep,

day = "8",

doi = "10.1007/s10958-020-05011-9",

language = "English",

volume = "250",

pages = "201--231",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Nature",

number = "2",

}

RIS

TY - JOUR

T1 - Global Solvability of the Cauchy-Dirichlet problem for a class of strongly nonlinear parabolic systems

AU - Arkhipova, A. A.

N1 - Arkhipova, A.A. Global Solvability of the Cauchy-Dirichlet Problem for a Class of Strongly Nonlinear Parabolic Systems. J Math Sci 250, 201–231 (2020). https://doi.org/10.1007/s10958-020-05011-9

PY - 2020/9/8

Y1 - 2020/9/8

N2 - We consider a class of nonlinear parabolic systems for elliptic operators of variational structure with nondiagonal principal matrices. Additional terms in the systems can have quadratic growth with respect to the gradient and arbitrary polynomial growth with respect to solutions. We obtain sufficient conditions for the time-global weak solvability of the Cauchy–Dirichlet problem and study the regularity of the solution. The case of two spatial variables is considered.

AB - We consider a class of nonlinear parabolic systems for elliptic operators of variational structure with nondiagonal principal matrices. Additional terms in the systems can have quadratic growth with respect to the gradient and arbitrary polynomial growth with respect to solutions. We obtain sufficient conditions for the time-global weak solvability of the Cauchy–Dirichlet problem and study the regularity of the solution. The case of two spatial variables is considered.

UR - http://www.scopus.com/inward/record.url?scp=85090377122&partnerID=8YFLogxK

U2 - 10.1007/s10958-020-05011-9

DO - 10.1007/s10958-020-05011-9

M3 - Article

VL - 250

SP - 201

EP - 231

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 62217134