Equations of mathematical physics_the Cauchy problem
В.С.Владимиров и В.В.Жариков. Уравнения математической физики. Физматлит. 2004. Глава 1, § 1.2, 1.4. Глава 3, § 3.1, 3.3, 3.5.
Setting the basic problems of mathematical physics.
Solution of differential equations in generalised functions.
The fundamental solution and the Cauchy problem.
