Page 1 Viorel Barbu SPRINGER MONOGRAPHS IN MATHEMATICS Nonlinear Differential
Equations of Monotone Types in Banach Spaces Springer Page 2 Viorel Barbu SPRINGER …

We establish, in a rather general setting, an analogue of DiPerna–Lions theory on well-
posedness of flows of ODEs associated to Sobolev vector fields. Key results are a well …

The classical Stefan model is a free boundary problem that represents thermal processes in
phase transitions just by accounting for heat-diffusion and exchange of latent heat. The …

We study a diffuse interface model for the flow of two viscous incompressible Newtonian
fluids in a bounded domain. The fluids are assumed to be macroscopically immiscible, but a …

This is the first of a series of papers devoted to a thorough analysis of the class of gradient
flows in a metric space (X, d) that can be characterized by Evolution Variational Inequalities …

Analysis on Function Spaces of Musielak-Orlicz Type provides a state-of-the-art survey on
the theory of function spaces of Musielak-Orlicz type. The book also offers readers a step-by …

The classical discontinuous Galerkin method for a general parabolic equation is analyzed.
Symmetric error estimates for schemes of arbitrary order are presented. The ideas …

L^p optimal control with p∈0,1) is investigated. The difficulty of natural lack of convexity and
thus of weak lower semicontinuity is addressed by introducing appropriately chosen …

In this paper we analyse the almost sure exponential stability and ultimate boundedness of
the solutions to a class of neutral stochastic semilinear partial delay differential equations …

Ą1 p and u is a complex-valued unknown function with Dpu: ¼ divšjrujpĄ2ruŽ; p; q 2 ½2; 1Ž:
In particular, šCGLŽ2 is a problem for the usual complex Ginzburg–Landau equation and …