Integral representation for solutions of the pseudoparabolic equation in matrix form

Authors

YEŞİM SAĞLAM ÖZKAN
SEZAYİ HIZLIYEL

DOI

10.3906/mat-1705-31

Abstract

In this paper, an integral representation is given for special bounded solutions of pseudoparabolic equations of the form $$ Lw:=\frac{\partial}{\partial t}\left(w_{\overline \phi}+aw+b\overline{w} \right) +cw+d\overline{w} $$ by means of a generating pair of the corresponding class of the generalized $Q$-holomorphic functions in $L_{p,2}(\mathbb{C})$, for $p>2$, where $a,\ b, \ c, \ d$ are functions of $z$ alone.

Keywords

Cauchy-type integral representation, generalized Beltrami systems

First Page

1655

Last Page

1669

Recommended Citation

ÖZKAN, YEŞİM SAĞLAM and HIZLIYEL, SEZAYİ (2018) "Integral representation for solutions of the pseudoparabolic equation in matrix form," Turkish Journal of Mathematics: Vol. 42: No. 4, Article 8. https://doi.org/10.3906/mat-1705-31
Available at: https://journals.tubitak.gov.tr/math/vol42/iss4/8