Abstract
We consider the second initial-boundary value problem for a Petrovskii parabolic second order system with variable coefficients in a semibounded plane domain with nonsmooth lateral boundary. Using the boundary integral equation method, we show that the solution belongs to the class $${C}_{x,t}^{\mathrm{2,1}}$$ ( $$\overline{\Omega }$$ ) and construct the solution in the form of a special parabolic potential.
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