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The third mixed problem for the Sonin equation in a half space
Authors:A P Malitskaya
Institution:1. Ivano-Frankovsk Pedagogical Institute, Ivano-Frankovsk
Abstract:We consider follwing mixed boundary-value problem:

$$\begin{array}{*{20}c}   {u'_t (t,R) + xu'_y (t,R) + yu'_z (t,R) = u'_{x^2 } (t,R) + f(t,R)}  \\   {in \Pi _T  = \{ (t,R),0< t \leqslant T,R = (x,y,z),R \in E_3 ,0< x\} ,}  \\   {u(0,R) = u_0 (R),u'_x (t,0,y,z) + \beta (t)u(t,0,y,z) = g(t,y,z).}  \\ \end{array}$$
Keywords:
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