This work presents a detailed study of linear abstract degenerate differential equations,
using both the semigroups generated by multivalued (linear) operators and extensions of …

We are here concerned with the study of the following class of infinite dimensional Hamilton-
Jacobi-Bellman problems 1\left {∂ y ∂ t (t, x)+ L (t, x)+ L (x, D) y (t, x)-K (Dy (t, x))+ g (x) …

This is a survey on recent developments of the theory of one-parameter semigroups and
evolution equations with special emphasis on functional calculus and kernel estimates. Also …

Given α∈0,2) and f∈L^2((0,T)*(0,1)), we derive new Carleman estimates for the degenerate
parabolic problem w_t+(x^αw_x)_x=f, where (t,x)∈(0,T)*(0,1), associated to the boundary …

Among various interesting topics in partial differential equations, the theory of parabolic
equations could be singled out for at least one feature: it provides ground for the interaction …

In this note we introduce a general framework which allows us to prove in a unified and
systematic way that operators with Wentzell-type boundary conditions generate analytic …

The Fourier series analysis of the inverse problem of finding the coefficient of lowest term in
the heat equation with a non-local Wentzell–Neumann boundary and integral …

In this paper we provide analytical and/or numerical evidences of the qualitative properties
of discontinuity fronts, developed by the solutions of the relativistic heat equation (and some …

Let X be a locally compact space, ma Radon measure on X,\, \mathfrakh a regular Dirichlet
form in L_2(X,m). For a Radon measure μ we interpret \mathfrakh as a regular Dirichlet form …

In a recent paper we presented a general perturbation result for generators of C_0 C 0-
semigroups, cf Theorem 2.1 below. The aim of the present work is to replace, in case the …