Non-linear elliptic and parabolic equations involving measure data

TL;DR: In this article, the spatial gradient of solutions to non-homogeneous and degenerate parabolic equations of p-Laplacean type can be pointwise estimated by natural Wolff potentials of the right hand side measure.

TL;DR: In this article, the Lyapunov stability and boundedness of motions of infinite-dimensional dynamical systems determined by differential equations defined on Banach spaces and by semigroups with an emphasis on the qualitative properties of equilibria were studied.

TL;DR: In this paper, the authors investigated the solvability of the Cauchy problem and the existence of initial traces for nonnegative weak solutions of the nonlinear evolution equation (1) ut − div(|Du| p−2 Du)=0 in ST ≡ RN ×(0,T), 0 2, both in terms of results and techniques.

TL;DR: In this paper, a maximal differentiability and regularity result for solutions to nonlinear measure data problems is presented. But the result is restricted to the case of Borel measures and is not applicable to the nonlinear case of the Poisson equation.

TL;DR: Schiff's base dichloroacetamides having the formula OR2 PARALLEL HCCl2-C-N ANGLE R1 in which R1 is selected from the group consisting of alkenyl, alkyl, alkynyl and alkoxyalkyl; and R2 is selected by selecting R2 from the groups consisting of lower alkylimino, cyclohexenyl-1 and lower alkynyl substituted cycloenenyl -1 as discussed by the authors.

TL;DR: In this paper, a characterization of compact sets in Lp (0, T; B) is given, where 1⩽P⩾∞ and B is a Banach space.

TL;DR: In this paper, the conditions générales d'utilisation (http://www.numdam.org/legal.php) of a fichier do not necessarily imply a mention of copyright.

TL;DR: In this article, Visik montre l'existence d'une solution de.certaitis problfemes aux limites, construisant une solution approchee en dimension finie;