We establish $L_{q,p}$-estimates and solvability for mixed Dirichlet-conormal problems for parabolic equations in a cylindrical Reifenberg-flat domain with a rough time-dependent separation.Comment: minor revision, accepted in Calc. Var. Partial Differential Equations. arXiv admin note: text overlap with arXiv:2101.0165
We consider parabolic equations with mixed boundary conditions and domain inhomogeneities supported ...
AbstractAn Lq(Lp)-theory of divergence and non-divergence form parabolic equations is presented. The...
The present article is devoted to a proof of the existence and uniqueness of a solution of a mixed p...
There is an error in the proof of Theorem 3.4 in the article referenced above. It consists of applyi...
The mixed (Dirichlet–Neumann) boundary-value problem for the ‘Laplace ’ linear dierential equa-tion ...
01> 0 and pairs s, y in D(M) n D(L). Then there is a unique solution of the Cauchy problem (Mu(t)...
In this paper we investigate linear parabolic, second-order boundary value problems with mixed bound...
In this paper we establish Hölder estimates for solutions to nonautonomous parabolic equations on no...
We prove the first positive results concerning boundary value problems in the upper half-space of se...
We construct the fundamental solution of second order parabolic equations in non-divergence form und...
none1noWe consider a mixed linear parabolic problem with a second-order strongly elliptic operator ...
We prove trace theorems for weighted mixed norm Sobolev spaces in the upper-half space where the wei...
This text is devoted to maximal regularity results for second-order parabolic systems on Lipschitz d...
AbstractWe study the initial value problem for parabolic second order equations with mixed and time-...
In [1], Yu. A. Alkhutov and I. T. Mamedov discussed the solvability of the Dirichlet problem for a l...
We consider parabolic equations with mixed boundary conditions and domain inhomogeneities supported ...
AbstractAn Lq(Lp)-theory of divergence and non-divergence form parabolic equations is presented. The...
The present article is devoted to a proof of the existence and uniqueness of a solution of a mixed p...
There is an error in the proof of Theorem 3.4 in the article referenced above. It consists of applyi...
The mixed (Dirichlet–Neumann) boundary-value problem for the ‘Laplace ’ linear dierential equa-tion ...
01> 0 and pairs s, y in D(M) n D(L). Then there is a unique solution of the Cauchy problem (Mu(t)...
In this paper we investigate linear parabolic, second-order boundary value problems with mixed bound...
In this paper we establish Hölder estimates for solutions to nonautonomous parabolic equations on no...
We prove the first positive results concerning boundary value problems in the upper half-space of se...
We construct the fundamental solution of second order parabolic equations in non-divergence form und...
none1noWe consider a mixed linear parabolic problem with a second-order strongly elliptic operator ...
We prove trace theorems for weighted mixed norm Sobolev spaces in the upper-half space where the wei...
This text is devoted to maximal regularity results for second-order parabolic systems on Lipschitz d...
AbstractWe study the initial value problem for parabolic second order equations with mixed and time-...
In [1], Yu. A. Alkhutov and I. T. Mamedov discussed the solvability of the Dirichlet problem for a l...
We consider parabolic equations with mixed boundary conditions and domain inhomogeneities supported ...
AbstractAn Lq(Lp)-theory of divergence and non-divergence form parabolic equations is presented. The...
The present article is devoted to a proof of the existence and uniqueness of a solution of a mixed p...