Bases d'ouverts réguliers et formule de Poisson pour l'équation de la chaleur.
Basic boundary value problems of thermoelasticity for anisotropic bodies with cuts. I.
Basic boundary value problems of thermoelasticity for anisotropic bodies with cuts. II.
Bergmannsche Polynom-Erzeugende erster Art.
Boundary integral equations and modified Green's functions
Boundary integral equations for mixed boundary value problems in polygonal domains and Galerkin approximation
Boundary integral equations of the logarithmic potential theory for domains with peaks
Integral equations of boundary value problems of the logarithmic potential theory for a plane domain with several peaks at the boundary are studied. We present theorems on the unique solvability and asymptotic representations for solutions near peaks. We also find kernels of the integral operators in a class of functions with a weak power singularity and describe classes of uniqueness.
Boundary value problems and duality between Lp Dirichlet and regularity problems for second order parabolic systems in non-cylindrical domains.
In this paper we consider general second order, symmetric and strongly elliptic parabolic systems with real valued and constant coefficients in the setting of a class of time-varying, non-smooth infinite cylindersΩ = {(x0,x,t) ∈ R x Rn-1 x R: x0 > A(x,t)}.We prove solvability of Dirichlet, Neumann as well as regularity type problems with data in Lp and Lp1,1/2 (the parabolic Sobolev space having tangential (spatial) gradients and half a time derivative in Lp) for p ∈ (2 − ε, 2 + ε) assuming...
Boundary value problems for quasielliptic equations in a half-space.
Boundary value problems for quasi-linear elliptic second order equations in unbounded cone-like domains
We study the behaviour of weak solutions (as well as their gradients) of boundary value problems for quasi-linear elliptic divergence equations in domains extending to infinity along a cone.
Boundary-value problems of Hilbert type for linear p-areolar differential equations in the form