Page 1

Displaying 1 – 7 of 7

Showing per page

Second order quasilinear functional evolution equations

László Simon (2015)

Mathematica Bohemica

We consider second order quasilinear evolution equations where also the main part contains functional dependence on the unknown function. First, existence of solutions in ( 0 , T ) is proved and examples satisfying the assumptions of the existence theorem are formulated. Then a uniqueness theorem is proved. Finally, existence and some qualitative properties of the solutions in ( 0 , ) (boundedness and stabilization as t ) are shown.

Some remarks on the continuity equation

Patrick Bernard (2008/2009)

Séminaire Équations aux dérivées partielles

This text is the act of a talk given november 18 2008 at the seminar PDE of Ecole Polytechnique. The text is not completely faithfull to the oral exposition for I have taken this opportunity to present the proofs of some results that are not easy to find in the literature. On the other hand, I have been less precise on the material for which I found good references. Most of the novelties presented here come from a joined work with Luigi Ambrosio.

Space-Time Estimates of Mild Solutions of a Class of Higher-Order Semilinear Parabolic Equations in L p

Albert N. Sandjo, Célestin Wafo Soh (2014)

Nonautonomous Dynamical Systems

We establish the well-posedness of boundary value problems for a family of nonlinear higherorder parabolic equations which comprises some models of epitaxial growth and thin film theory. In order to achieve this result, we provide a unified framework for constructing local mild solutions in C0([0, T]; Lp(Ω)) by introducing appropriate time-weighted Lebesgue norms inspired by a priori estimates of solutions. This framework allows us to obtain global existence of solutions under the proviso that initial...

Currently displaying 1 – 7 of 7

Page 1