Zobrazeno 1 - 10
of 60
pro vyhledávání: '"Kresin, Gershon"'
Autor:
Kresin, Gershon, Maz'ya, Vladimir
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 validity of the classical maximum modulus principle for solutions of sec
Externí odkaz:
http://arxiv.org/abs/2009.01805
Autor:
Kresin, Gershon, Maz'ya, Vladimir
We deal with $m$-component vector-valued solutions to the Cauchy problem for linear both homogeneous and nonhomogeneous weakly coupled second order parabolic system in the layer ${\mathbb R}^{n+1}_T={\mathbb R}^n\times (0, T)$. We assume that coeffic
Externí odkaz:
http://arxiv.org/abs/2004.07942
Autor:
Kresin, Gershon, Maz'ya, Vladimir
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 ${\mathbb R}^{n+1}_T={\mathbb R}^n\times (0, T)$, where $n\geq 1$ and $T<\infty$.
Externí odkaz:
http://arxiv.org/abs/1909.01873
Autor:
Kresin, Gershon, Maz'ya, Vladimir
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-space. All data belong to the Lebesgue space $L^p$. Derivation of the coe
Externí odkaz:
http://arxiv.org/abs/1808.03101
Autor:
Kresin, Gershon, Maz'ya, Vladimir
A representation for the sharp coefficient in a pointwise estimate for the gradient of a generalized Poisson integral of a function $f$ on ${\mathbb R}^{n-1}$ is obtained under the assumption that $f$ belongs to $L^p$. It is assumed that the kernel o
Externí odkaz:
http://arxiv.org/abs/1709.03412
Autor:
Kresin, Gershon, Maz'ya, Vladimir
A representation of the sharp coefficient in a pointwise estimate for the gradient of the generalized Poisson integral of a function $f$ on ${\mathbb R}^n$ is obtained under the assumption that $f$ belongs to $L^p$. The explicit value of the coeffici
Externí odkaz:
http://arxiv.org/abs/1703.06333
Autor:
Kresin, Gershon
The representation for the sharp constant ${\rm K}_{n, p}$ in an estimate of the modulus of the $n$-th derivative of an analytic function in the upper half-plane ${\mathbb C}_+$ is considered. It is assumed that the boundary value of the real part of
Externí odkaz:
http://arxiv.org/abs/1509.01176
Autor:
Kresin, Gershon, Maz'ya, Vladimir
We consider uniformly strongly elliptic systems of the second order with bounded coefficients. First, sufficient conditions for the invariance of convex bodies obtained for linear systems without zero order term in bounded domains and quasilinear sys
Externí odkaz:
http://arxiv.org/abs/1412.2217