Abstract:
We present sufficient conditions for existence of solutions to general boundary value problems in a half-space for homogeneous differential equations with constant coefficients and arbitrary boundary data in the space of tempered distributions.
Keywords:
boundary value problem, multiplier, regularization of distributions, Fourier transform.
Citation:
A. L. Pavlov, “Solvability of boundary value problems in a half-space for differential equations with constant coefficients in the class of tempered distributions”, Sibirsk. Mat. Zh., 54:4 (2013), 871–889; Siberian Math. J., 54:4 (2013), 697–712