Semiclassical fundamental solutions.
Solutions fondamentales exactes
Exact fundamental solutions are known for operators of various types. We indicate a general approach that gives various old and new fundamental solutions for operators with double characteristics. The solutions allow one to read off detailed behavior, such as the presence or absence of analytic hypoellipticity. Recent results for operators with multiple characteristics are also described.
Solutions of boundary-value problems in discretized volumes.
Solutions of type for a class of singular equations.
Solvability for a class of non-homogeneous differential operators on two-step nilpotent groups.
Some estimates of Schrödinger-type operators with certain nonnegative potentials.
Some notes to certain modification of the Oseen problem
Some notes to the transport equation and to the Green formula
Some remarks on gradient estimates for heat kernels.
Some solutions for a class of singular equations
In this paper we obtain all solutions which depend only on for a class of partial differential equations of higher order with singular coefficients.
Source type positive solutions of nonlinear parabolic inequalities
Stability of classes of mappings and Hölder continuity of higher derivatives of elliptic solutions to systems of nonlinear differential equations.