We deal with m-component vector-valued solutions to the Cauchy problem for a linear both homogeneous and nonhomogeneous weakly coupled second-order parabolic system in the layer (Formula presented.). We assume that coefficients of the system are real and depending only on t, (Formula presented.) and (Formula presented.). The homogeneous system is considered with initial data in (Formula presented.), (Formula presented.). For the nonhomogeneous system we suppose that the initial function is equal to zero and the right-hand side belongs to (Formula presented.), (Formula presented.). Explicit formulas for the sharp coefficients in pointwise estimates for solutions to these problems and their directional derivative are obtained. © 2020 Informa ...
In this paper we prove global bounds on the spatial gradient of viscosity solutions to second order ...
In this paper we prove global bounds on the spatial gradient of viscosity solutions to second order ...
In this paper we prove global bounds on the spatial gradient of viscosity solutions to second order ...
We deal with solutions of the Cauchy problem to linear both homogeneous and nonhomogeneous parabolic...
concern the regularity properties of weak solutions of a certain class of degenerate parabolic equat...
We establish local Calderón-Zygmund-type estimates for a class of parabolic problems whose model is...
We establish Calder\'on \& Zygmund type estimates for a class of parabolic problems whose model is ...
AbstractAnalytic smoothing properties of a general, strongly parabolic linear Cauchy problem of seco...
AbstractThe purpose of this paper is to obtain a fundamental solution matrix for a second order weak...
In this paper we prove global bounds on the spatial gradient of viscosity solutions to second order ...
We solve second order parabolic equations with nonsmooth coefficients and initial data in suitable u...
AbstractWe extend the Hölder regularity results for weak solutions of the p-Laplacian systems origin...
AbstractIn this paper, we are concerned with certain natural Sobolev-type estimates for weak solutio...
In this paper we prove global bounds on the spatial gradient of viscosity solutions to second order ...
In this paper we prove global bounds on the spatial gradient of viscosity solutions to second order ...
In this paper we prove global bounds on the spatial gradient of viscosity solutions to second order ...
In this paper we prove global bounds on the spatial gradient of viscosity solutions to second order ...
In this paper we prove global bounds on the spatial gradient of viscosity solutions to second order ...
We deal with solutions of the Cauchy problem to linear both homogeneous and nonhomogeneous parabolic...
concern the regularity properties of weak solutions of a certain class of degenerate parabolic equat...
We establish local Calderón-Zygmund-type estimates for a class of parabolic problems whose model is...
We establish Calder\'on \& Zygmund type estimates for a class of parabolic problems whose model is ...
AbstractAnalytic smoothing properties of a general, strongly parabolic linear Cauchy problem of seco...
AbstractThe purpose of this paper is to obtain a fundamental solution matrix for a second order weak...
In this paper we prove global bounds on the spatial gradient of viscosity solutions to second order ...
We solve second order parabolic equations with nonsmooth coefficients and initial data in suitable u...
AbstractWe extend the Hölder regularity results for weak solutions of the p-Laplacian systems origin...
AbstractIn this paper, we are concerned with certain natural Sobolev-type estimates for weak solutio...
In this paper we prove global bounds on the spatial gradient of viscosity solutions to second order ...
In this paper we prove global bounds on the spatial gradient of viscosity solutions to second order ...
In this paper we prove global bounds on the spatial gradient of viscosity solutions to second order ...
In this paper we prove global bounds on the spatial gradient of viscosity solutions to second order ...
In this paper we prove global bounds on the spatial gradient of viscosity solutions to second order ...