-regularity results for quasilinear parabolic systems
Certaines propriétés solutions non négatives d'un système parabolique d'équations
Characterization of the interior regularity for parabolic systems with discontinuous coefficients
We deal in this Note with linear parabolic (in sense of Petrovskij) systems of order with discontinuous principal coefficients belonging to . By means of a priori estimates in Sobolev-Morrey spaces we give a precise characterization of the Morrey, BMO and Hölder regularity of the solutions and their derivatives up to order .
Consistent models for electrical networks with distributed parameters
A system of one-dimensional linear parabolic equations coupled by boundary conditions which include additional state variables, is considered. This system describes an electric circuit with distributed parameter lines and lumped capacitors all connected through a resistive multiport. By using the monotony in a space of the form , one proves the existence and uniqueness of a variational solution, if reasonable engineering hypotheses are fulfilled.
Crossover collision of scroll wave filaments.