We present a general method of solving the Cauchy problem for a linear parabolic partial
differential equation of evolution type with variable coefficients and demonstrate it on the …

We present a general method of solving the Cauchy problem for multidimensional parabolic
(diffusion type) equation with variable coefficients which depend on spatial variable but do …

A parabolic partial differential equation ut′(t, x)= L u (t, x) is considered, where L is a linear
second-order differential operator with time-independent (but dependent on x) coefficients …

In the paper we derive two formulas representing solutions of Cauchy problem for two
Schrödinger equations: one-dimensional momentum space equation with polynomial …

We study the Cauchy problem for two types of Schrödinger equations. Firstly, an equation on
the real line with Hamiltonian being a differential operator of arbitrary high order (example …