Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Arina A. Arkhipova"'
Autor:
Arina A. Arkhipova
Publikováno v:
manuscripta mathematica. 170:497-529
Autor:
Arina A. Arkhipova
Publikováno v:
Journal of Mathematical Sciences. 259:128-147
We consider nonlinear elliptic systems of equations with nondiagonal principal matrices and quadratic nonlinearities in the gradient. Under a one-sided condition on the strongly nonlinear terms, we study the local regularity of possibly unbounded wea
Autor:
Arina A. Arkhipova
Publikováno v:
Journal of Mathematical Sciences. 250:201-231
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 gr
Autor:
G. V. Grishina, Arina A. Arkhipova
Publikováno v:
Journal of Mathematical Sciences. 247:791-819
We consider a model problem in a half-ball for linear and quasilinear elliptic systems of equations with nondiagonal principal matrix. It is assumed that the components of the solution are interconnected by Dirichlet and Neumann type boundary conditi
Autor:
Arina A. Arkhipova
Publikováno v:
St. Petersburg Mathematical Journal. 31:273-296
Autor:
Arina A. Arkhipova, Jana Stará
Publikováno v:
Commentationes Mathematicae Universitatis Carolinae. 60:231-267
Partial regularity of solutions to a class of second order nonlinear parabolic systems with non-smooth in time principal matrices is proved in the paper. The coefficients are assumed to be measurable and bounded in the time variable and VMO-smooth in
Autor:
Arina A. Arkhipova
Publikováno v:
Journal of Mathematical Sciences. 242:25-51
We study the regularity of weak solutions to the two-phase the problem for quasilinear parabolic systems with nondiagonal principal matrices. We prove the Holder continuity of solutions on a set of full measure with an estimate for the admissible sin
Autor:
Arina A. Arkhipova, G. V. Grishina
Publikováno v:
Vestnik St. Petersburg University, Mathematics. 52:1-18
We consider quasilinear parabolic systems of equations with nondiagonal principal matrices. The oblique derivative of a solution is defined on the plane part of the lateral surface of a parabolic cylinder. We do not assume smoothness of the principal
Autor:
Arina A. Arkhipova, G. V. Grishina
Publikováno v:
Journal of Mathematical Sciences. 232:232-253
We consider a quasilinear parabolic system of equations with nondiagonal principal matrix in a model parabolic cylinder with the Neumann condition on the plane part Γ of the lateral surface of the cylinder. We prove the partial regularity (the Holde
Autor:
Arina A. Arkhipova
Publikováno v:
Journal of Mathematical Sciences. 219:850-873
We consider a parabolic quasilinear second order system of equations in divergence form in a model parabolic cylinder. We prove the Holder continuity of a weak solution on a set of full measure in the cylinder. It is shown that the linear system has