This book describes three classes of nonlinear partial integro-differential equations. These
models arise in electromagnetic diffusion processes and heat flow in materials with memory …

In this work we are concerned with the analysis and numerical solution of Black–Scholes
type equations arising in the modeling of incomplete financial markets and an inverse …

A quasilinear parabolic equation with quadratic gradient terms is analyzed. The equation
models an optimal portfolio in so-called incomplete financial markets consisting of risky …

This paper is concerned with the existence and the uniqueness of weak periodic solution for
the following nonlinear parabolic–elliptic problem∂ u∂ t-div (H (x, t, u,∇ u))+ κ (u) β′(u)∇ …

We prove the existence of weak solutions for the thermistor problem with degeneracy by
using a regularization and truncation process. The solution of the regularized-truncated …

The transmission of an electric current in a conductor is a process in which some electrical
energy is converted into heat (thermal energy). We deal with a nonlinear boundary value …

This paper deals with the existence of weak periodic solutions for a model describing the
electrical heating of a conductor taking into account the Joule–Thomson effect. The …

We analyze the asymptotic behavior corresponding to the arbitrary high conductivity of the
heat in the thermoelectric devices. This work deals with a steady-state multidimensional …

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We shall discuss a variety of drift-diffusion equations and their properties. The choice is not
intended to be comprehensive, rather it reflects to considerable extent the author's interests …