Pavol Quittner Philippe Souplet Blow-up, Global Existence and Steady States Second
Edition Page 1 Birkhäuser Advanced Texts Basler Lehrbücher Pavol Quittner Philippe …

We study the long-time behavior of the unique viscosity solution u of the viscous Hamilton–
Jacobi equation ut− Δu+| Du| m= f in Ω×(0,+∞) with inhomogeneous Dirichlet boundary …

Abstract Consider the diffusive Hamilton-Jacobi equation ut= Δ u+|∇ u| p, p> 2, on a
bounded domain Ω with zero-Dirichlet boundary conditions, which arises in the KPZ model …

We study the problem of null controllability for viscous Hamilton–Jacobi equations in
bounded domains of the Euclidean space in any space dimension and with controls …

This paper is concerned with weak solutions of the degenerate diffusive Hamilton–Jacobi
equation with Dirichlet boundary conditions in a bounded domain Ω⊂ RN, where p> 2 and …

We study the existence of solutions of a nonlinear parabolic problem of Cauchy–
Dirichlettype having a lower order term which depends on the gradient. The model we have …

We investigate the diffusive Hamilton–Jacobi equation ut− u=|∇ u| p with p> 1, in a smooth
bounded domain of Rn with homogeneous Neumann boundary conditions and W1,∞ initial …

We study the nonnegative solutions of the viscous Hamilton–Jacobi problem {ut− ν Δ u+|∇
u| q= 0, u (0)= u 0, in Q Ω, T= Ω×(0, T), where q> 1, ν≧ 0, T∈(0,∞], and Ω= RN or Ω is a …

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 suitable …

We investigate the convergence to steady states of the solutions to the one-dimensional
viscous Hamilton–Jacobi equation∂ tu−∂ x 2 u=|∂ xu| p, where (t, x)∈(0,∞)×(− 1, 1) and …