Basic boundary value problems of thermoelasticity for anisotropic bodies with cuts. I.
Basic boundary value problems of thermoelasticity for anisotropic bodies with cuts. II.
Boundary value problems and layer potentials on manifolds with cylindrical ends
We study the method of layer potentials for manifolds with boundary and cylindrical ends. The fact that the boundary is non-compact prevents us from using the standard characterization of Fredholm or compact pseudo-differential operators between Sobolev spaces, as, for example, in the works of Fabes-Jodeit-Lewis and Kral-Wedland . We first study the layer potentials depending on a parameter on compact manifolds. This then yields the invertibility of the relevant boundary integral operators in the...
Boundary value problems for the nonstationary Navier-Stokes equations treated by pseudo-differential methods.