Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Apushkinskaya, Darya"'
We study solutions of parabolic equations with a discontinuous hysteresis operator, described by a free interface boundary. It is established that for spatially transverse initial data from the space $W^{2-2/q}_q$ with $q > 3$, there exists a solutio
Externí odkaz:
http://arxiv.org/abs/2411.17512
This survey provides a description of the history and the state of the art of one of the most important fields in the qualitative theory of elliptic partial differential equations including the strong maximum principle, the boundary point principle (
Externí odkaz:
http://arxiv.org/abs/2206.08043
The paper is concerned with functional type a posteriori estimates for the initial boundary value problem for a parabolic partial differential equation with an obstacle. We deduce a guaranteed and computable bound of the distance between the exact mi
Externí odkaz:
http://arxiv.org/abs/2109.14519
Nina Uraltseva has made lasting contributions to mathematics with her pioneering work in various directions in analysis and PDEs and the development of elegant and sophisticated analytical techniques. She is most renowned for her early work on linear
Externí odkaz:
http://arxiv.org/abs/2109.00658
The paper is concerned with a free boundary problem generated by the biharmonic operator and an obstacle. The main goal is to deduce a fully guaranteed upper bound of the difference between the exact minimizer u and any function (approximation) from
Externí odkaz:
http://arxiv.org/abs/2003.09261
Publikováno v:
In Journal of Differential Equations 5 December 2023 375:538-566
We study linear and quasilinear Venttsel boundary value problems involving elliptic operators with discontinuous coefficients. On the base of the a priori estimates obtained, maximal regularity and strong solvability in Sobolev spaces are proved.
Externí odkaz:
http://arxiv.org/abs/1907.03017
We provide some versions of the Zaremba-Hopf-Oleinik boundary point lemma for general elliptic and parabolic equations in divergence form under the sharp requirements on the coefficients of equations and on the boundaries of domains.
Comment: 24
Comment: 24
Externí odkaz:
http://arxiv.org/abs/1802.09636