Nonlinear Evolution Equations and Related Topics
Dedicated to Philippe Bénilan
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Beschreibung
Philippe Bénilan was a most original and charismatic mathematician who had a deep and decisive impact on the theory of nonlinear evolution equations. The present volume is dedicated to him and contains research papers written by highly distinguished mathematicians. They are all related to Bénilan'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 are 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 volume, the legendary work of Bénilan-Brézis on Thomas-Fermi theory is published for the first time.
Gives insight into new developments of nonlinear analysis by presenting a series of studies of recent mathematical models describing time evolution in physics, chemistry and other applications. They are all related in some way to the mathematical work of the outstanding mathematician, Philippe Bénilan
Philippe Bénilan 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.
Autor*in
Wolfgang Arendt
Themen in »Nonlinear Evolution Equations and Related Topics«
Boundary value problem Evolution equations Partial differential equations acoustic wave equation hyperbolic equation partial differential equation wave equation
Stimmen zu »Nonlinear Evolution Equations and Related Topics«
"The present volume is dedicated to the memory of Philippe Bénilan and contains about forty research articles which all previously appeared in the Journal of Evolution Equations. The topics covered are from Hamilton--Jacobi equations, the porous medium equation, reaction diffusion systems, integro-differential equations and viscoelasticity, maximal regularity for elliptic and parabolic equations, and the Ornstein--Uhlenbeck operator." (Monatshefle für Mathematik, G. Teschl, Wien)
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