2 citations · 2 across the 7 of their papers we have counts for
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On sharp Agmon-Miranda maximum principles
Gershon Kresin, Vladimir Maz'ya
In this survey we formulate our results on different forms of maximum principles for linear elliptic equations and systems. We start with necessary and sufficient conditions for va…
Sharp pointwise estimates for solutions of weakly coupled second order parabolic system in a layer
Gershon Kresin, Vladimir Maz'ya
We deal with -component vector-valued solutions to the Cauchy problem for linear both homogeneous and nonhomogeneous weakly coupled second order parabolic system in the layer ${…
Sharp pointwise estimates for the gradients of solutions to linear parabolic second order equation in the layer
Gershon Kresin, Vladimir Maz'ya
We deal with solutions of the Cauchy problem to linear both homogeneous and nonhomogeneous parabolic second order equations with real constant coefficients in the layer ${\mathbb R…
Sharp estimates for the gradient of solutions to the heat equation
Gershon Kresin, Vladimir Maz'ya
Various sharp pointwise estimates for the gradient of solutions to the heat equation are obtained. The Dirichlet and Neumann conditions are prescribed on the boundary of a half-spa…
Generalized Poisson integral and sharp estimates for harmonic and biharmonic functions in the half-space
Gershon Kresin, Vladimir Maz'ya
A representation for the sharp coefficient in a pointwise estimate for the gradient of a generalized Poisson integral of a function on is obtained under the…
Sharp estimates for the gradient of the generalized Poisson integral for a half-space
Gershon Kresin, Vladimir Maz'ya
A representation of the sharp coefficient in a pointwise estimate for the gradient of the generalized Poisson integral of a function on is obtained under the as…