Standard

Lp-estimates of the gradients of solutions of initial/boundary-value problems for quasilinear parabolic systems. / Arkhipova, A. A.

In: Journal of Mathematical Sciences, Vol. 73, No. 6, 01.03.1995, p. 609-617.

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

Harvard

Arkhipova, AA 1995, 'Lp-estimates of the gradients of solutions of initial/boundary-value problems for quasilinear parabolic systems', Journal of Mathematical Sciences, vol. 73, no. 6, pp. 609-617. https://doi.org/10.1007/BF02364939, https://doi.org/10.1007/BF02364939

APA

Arkhipova, A. A. (1995). Lp-estimates of the gradients of solutions of initial/boundary-value problems for quasilinear parabolic systems. Journal of Mathematical Sciences, 73(6), 609-617. https://doi.org/10.1007/BF02364939, https://doi.org/10.1007/BF02364939

Vancouver

Arkhipova AA. Lp-estimates of the gradients of solutions of initial/boundary-value problems for quasilinear parabolic systems. Journal of Mathematical Sciences. 1995 Mar 1;73(6):609-617. https://doi.org/10.1007/BF02364939, https://doi.org/10.1007/BF02364939

Author

Arkhipova, A. A. / Lp-estimates of the gradients of solutions of initial/boundary-value problems for quasilinear parabolic systems. In: Journal of Mathematical Sciences. 1995 ; Vol. 73, No. 6. pp. 609-617.

BibTeX

@article{2bc1838da7694d74a5a2727100b92064,
title = "Lp-estimates of the gradients of solutions of initial/boundary-value problems for quasilinear parabolic systems",
abstract = "We prove that the gradients of solutions of parabolic systems of equations (linear and quasi-linear systems with quadratic nonlinearity with respect to the gradient) satisfying first of second boundary conditions are in Lp, p>2. It is assumed that the data of the problems belong to anisotropic spaces. The proof is based on the application of results on reverse H{\"o}lder inequalities obtained previously by the author. Bibliography: 6 titles.",
author = "Arkhipova, {A. A.}",
year = "1995",
month = mar,
day = "1",
doi = "10.1007/BF02364939",
language = "English",
volume = "73",
pages = "609--617",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "6",

}

RIS

TY - JOUR

T1 - Lp-estimates of the gradients of solutions of initial/boundary-value problems for quasilinear parabolic systems

AU - Arkhipova, A. A.

PY - 1995/3/1

Y1 - 1995/3/1

N2 - We prove that the gradients of solutions of parabolic systems of equations (linear and quasi-linear systems with quadratic nonlinearity with respect to the gradient) satisfying first of second boundary conditions are in Lp, p>2. It is assumed that the data of the problems belong to anisotropic spaces. The proof is based on the application of results on reverse Hölder inequalities obtained previously by the author. Bibliography: 6 titles.

AB - We prove that the gradients of solutions of parabolic systems of equations (linear and quasi-linear systems with quadratic nonlinearity with respect to the gradient) satisfying first of second boundary conditions are in Lp, p>2. It is assumed that the data of the problems belong to anisotropic spaces. The proof is based on the application of results on reverse Hölder inequalities obtained previously by the author. Bibliography: 6 titles.

UR - http://www.scopus.com/inward/record.url?scp=34249755103&partnerID=8YFLogxK

U2 - 10.1007/BF02364939

DO - 10.1007/BF02364939

M3 - Article

AN - SCOPUS:34249755103

VL - 73

SP - 609

EP - 617

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -

ID: 15545183