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In Section 1, we introduce the mixed bound- ary value/interface problem that we study, namely Equation (6), and state the main results of the paper, Theorem 1.1 on the regularity of
Initial boundary value problems are investigated for the considered physical system of differential equations in piecewise- homogeneous media with boundary and contact conditions;
Kupradze and his pupils the Laplace transform method was used to prove the existence of classical solutions of the basic three-dimensional boundary and boundary-contact dynamic
Oleinik constructed examples of second-order parabolic equa- tions in the exponentially narrowing domains for which the solution unique- ness class for the second boundary value
It follows from the above discussion that in this paper the problem of elastic equilibrium of an infinite layer is generalized (despite special type homogeneous boundary
The solution is constructed effectively by applying the methods of theory of analytic functions to a boundary value problem of the Carleman type for a strip.. The stress field
techniques allowing under certain conditions to derive the uniform bound- edness of solutions of (1) with mixed boundary conditions from uniform estimates... Unfortunately, when ψ
We establish two criteria for the existence of convex solutions to a bound- ary value problem for weakly coupled systems arising from the Monge-Amp` ere equations.. We shall use
