Nonlinear Evolution Equations and Related Topics Dedicated to Philippe Bnilan [Paperback]

Philippe B?nilan was a most original and charismatic mathematician who had a deep and decisive impact on the theory of Nonlinear Evolution Equations. Dedicated to him, Nonlinear Evolution Equations and Related Topics contains research papers written by highly distinguished mathematicians. They are all related to Philippe Benilan's work and reflect the present state of this most active field. The contributions cover a wide range of nonlinear and linear equations.

Philippe B?nilan was a most original and charismatic mathematician who had a deep and decisive impact on the theory of Nonlinear Evolution Equations. This present volume is dedicated to him and contains research papers written by highly distinguished mathematicians. They are all related to Benilan's work and reflect the present state of this most active field. The contributions cover a wide range of nonlinear and linear equations. Special topics include: Hamilton-Jacobi equations, the porous medium equation, reaction diffusion systems, integro-differential equations and visco-elasticity, maximal regularity for elliptic and parabolic equations, and the Ornstein Uhlenbeck operator. Also in this special volume, the legendary work of B?nilan-Br?zis on Thomas-Fermi Theory is published for the first time.

Intrinsic metrics and Lipschitz functions.- Decay estimates for anisotropic viscous Hamilton-Jacobi equationsin RN.- The Cauchy problem for linear growth functionals.- Asymptotic behaviour for the porous medium equation posedin the whole space.- Dirichlet and Neumann boundary conditions: What is in between?.- The focusing problem for the Eikonal equation.- Weak solutions and supersolutions in L1 for reaction-diffusion systems.- Global well-posedness and stability of a partial integro-differentialequation with applications to viscoelasticity.- On some singular limits of homogeneous semigroups.- Singular limit of changing sign solutions of the porous mediumequation.- On the regli