Global convergence toward traveling fronts in nonlinear parabolic systems with a gradient structure

Toute utilisation commerciale ou impression sys- tématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fi- chier doit contenir la présente mention

It is also very useful when we make a systematic analysis of the gradients of solutions of nonlinear elliptic and parabolic problems near the boundary of the irregular domain which

Key words: nonlinear parabolic equations, gradient term, global existence, bounded solutions, Poincare inequality, blow-up, critical exponent, exponential

NIRENBERG, Some qualitative properties of solutions of semilinear equations in cylindrical domains, Analysis et Cetera (dedicated to J. NIRENBERG, Travelling fronts

solutions of the gas dynamics equations (with diffusion terms added as above) in the energy as well as entropy formulation, and in either Lagran-.. gean or

Veron, Uniqueness and asymptotic behaviour of solutions with boundary blow-up for a class of nonlinear elliptic equations, Ann. Veron, Existence and uniqueness results for

The large time behaviour of nonnegative solutions to a quasilinear degenerate diffusion equation with a source term depending solely on the gradient is investigated.. After a

Section 1 provides Riemannian versions of 3 classical results of geomet- ric measure theory: Allard’s regularity theorem, the link between first variation and mean curvature in the