Regularity of solutions of some problems of mathematical physics (Q2276657)

In the paper there are collected (generally without proof) several results of the authors on regularity of generalized solutions of boundary value problems for elliptic and parabolic quasilinear systems. Sufficient conditions are formulated which imply Hölder continuity of the solutions and their derivatives inside the domain and in its closure. Besides usual conditions it is assumed the boundedness of dispersion in the spectrum of that matrix determining ellipticity.