Gravitation and Cosmology.
Том 6.
2000.
С. 344-350
In this paper the author deals with sufficient conditions under which the set of generalized solutions of weakly nonlinear equations forms a partial quasi-analytic class. Applications are given to several classes of nonlinear wave-type equations, including the Kolmogorov-Petrovskiĭ-Piskunov-type equation, the Schrödinger-type equation, etc. The arguments used in the proof are based on the author's earlier results concerning linear equations [Mat. Sb. {bf 191} (2000), no.~3, 113--142; [msn] MR1773257 (2001i:35036) [/msn]].