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., 2013, Volume 54, Number 4,Pages <nobr>871

This article is cited in 7 papers

Solvability of boundary value problems in a half-space for differential equations with constant coefficients in the class of tempered distributions

A. L. Pavlov

Donetsk National University, Donetsk, Ukraine

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.

UDC: 517.954

Received: 10.08.2012