This textbook in partial differential equations has been adopted as course material by the Moscow State University. The theoretical foundations of PDE are explained rigorously and clearly in such a way that their importance on applications is also taken into account. The presentation of materials has been arranged to be conducive to promoting students' interest in mathematical experiments.
Modelling some physical phenomena in terms of heat partial differential equations; basic types of partial differential equations and the problems of concretely formulating them; elliptic type equations; generalized solutions of partial differential equations; some classes of nonlinear partial differential equations.