A class of inverse problems for restoring the right-hand side of a parabolic equation for a
large class of positive operators with discrete spectrum is considered. The results on …

In this paper, we study the Cauchy problem for the Landau Hamiltonian wave equation, with
time-dependent irregular (distributional) electromagnetic field and similarly irregular velocity …

Given a Hilbert space HH, we investigate the well-posedness of the Cauchy problem for the
wave equation for operators with a discrete non-negative spectrum acting on H H. We …

This paper deals with the multi-term generalisation of the time-fractional diffusion-wave
equation for general operators with discrete spectrum, as well as for positive hypoelliptic …

This article aims to investigate the semi-classical analog of the general Caputo-type
diffusion equation with time-dependent diffusion coefficient associated with the discrete …

In this paper we consider an acoustic problem of wave propagation through a discontinuous
medium. The problem is reduced to the dissipative wave equation with distributional …

In this paper, we consider an inverse source problem for a fractional pseudo-parabolic
equation. We show that the problem is severely ill-posed (in the sense of Hadamard) and …

In this paper we study the Cauchy problem for the semilinear damped wave equation for the
sub-Laplacian on the Heisenberg group. In the case of the positive mass, we show the …

In this memoir we extend the theory of global pseudo-differential operators to the setting of
arbitrary sub-Riemannian structures on a compact Lie group. More precisely, given a …

In this paper we explore numerically the theoretical results of the paper [10], and report on
the numerical study of the Cauchy–Dirichlet problem for the 1D wave equation with …