Michael Ruzhansky, Niyaz Tokmagambetov
Published 2015-04-03Version 1
In this paper we develop the global symbolic calculus of pseudo-differential operators generated by a boundary value problem for a given (not necessarily self-adjoint or elliptic) differential operator. For this, we also establish elements of a non-self-adjoint distribution theory and the corresponding biorthogonal Fourier analysis. We give applications of the developed analysis to obtain a-priori estimates for solutions of operators that are elliptic within the constructed calculus.
Investigation of solutions of boundary value problems for a composite type equation with non-local boundary conditions
Boundary value problem of a non-stationary Stokes system in a bounded smooth cylinder
Boundary value problem for a multidimensional system of equation with Riemann-Liouville derivatives
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