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 …

We describe the historical process of derivation of the p-Laplace operator from a nonlinear
Darcy law and the continuity equation. The story begins with nonlinear flows in channels …

In this paper, we study the global approximate multiplicative controllability for nonlinear
degenerate parabolic Cauchy–Neumann problems. First, we obtain embedding results for …

We study a two-layer energy balance model that allows for vertical exchanges between a
surface layer and the atmosphere. The evolution equations of the surface temperature and …

We study parameter estimation for one-dimensional energy balance models with memory
(EBMMs) given localized and noisy temperature measurements. Our results apply to a wide …

This work studies the sensitivity of a global climate model with deep ocean effect to the
variations of a Solar parameter Q. The model incorporates a dynamic and diffusive boundary …

We study a climatologically important interaction of two of the main components of the
geophysical system by adding an energy balance model for the averaged atmospheric …

The purpose of this paper is to carry out the mathematical and numerical analysis of a two-
dimensional nonlinear parabolic problem on a compact Riemannian manifold without …

The main purpose of this paper is the study of second-order optimality conditions for the
bilinear control of a strongly degenerate parabolic equation. The equation is degenerate at …

We prove Besov boundary regularity for solutions of the homogeneous Dirichlet problem for
fractional-order quasi-linear operators with variable coefficients on Lipschitz domains of. Our …