In this paper, a class of operator-differential
equation of the first order with multiple characteristics is considered, for
which the initial boundary value problem on the semi-axis is well-posed and
uniquely solvable in the Sobolev space.
Cite this paper
Labeeb, M. A. , Elbably, A. L. and Ahmed, A. B. I. (2017). On the Solvability of the Boundary-Value Problem for the First Order Operator-Differential Equations with Multiple Characteristics. Open Access Library Journal, 4, e4155. doi: http://dx.doi.org/10.4236/oalib.1104155.
Amann, H. (2005) Maximal Regularity and Quasilinear Parabolic Boundary Value Problems, Recent Advances in Elliptic and Parabolic Problems. World Scientific, Hack-ensack, 1-17.
Sasun Yakubov, U. (1999) An Initial Boundary Value Problem for Parabolic Differential-Operator Equations. Journal of Mathematical Analysis and Applications, 239, 272-290.
