Bénilan, P. (Philippe) 1940Overview
Most widely held works by
P Bénilan
Proceedings, Beasançon, France, June 1977
by P Bénilan
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Book
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22 editions published in 1978 in 4 languages and held by 495 WorldCat member libraries worldwide
Recent advances in nonlinear elliptic and parabolic problems : proceedings of an international conference, Nancy, France, March 1988
by Recent Advances in Nonlinear Elliptic and Parabolic Problems
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Book
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12 editions published in 1989 in English and held by 181 WorldCat member libraries worldwide
Nonlinear evolution equations and related topics : dedicated to Philippe Bénilan
by Wolfgang Arendt
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Book
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4 editions published in 2004 in English and held by 62 WorldCat member libraries worldwide Philippe Benilan 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: HamiltonJacobi equations, the porous medium equation, reaction diffusion systems, integrodifferential equations and viscoelasticity, maximal regularity for elliptic and parabolic equations, and the Ornstein Uhlenbeck operator. Also in this special volume, the legendary work of BenilanBrezis on ThomasFermi Theory is published for the first time
Séminaire les semigroupes et les equations d'evolution : années 197273, 197374
by Seminaire les SemiGroupes et les Equations d'Evolution
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Book
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1 edition published in 1975 in French and held by 19 WorldCat member libraries worldwide
Physical origins and classical methods
by Robert Dautray
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Book
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2 editions published in 1990 in English and held by 15 WorldCat member libraries worldwide
Mathematical analysis and numerical methods for science and technology
by Robert Dautray
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Book
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8 editions published between 1990 and 2000 in English and held by 12 WorldCat member libraries worldwide These 6 volumes  the result of a 10 year collaboration between the authors, two of France's leading scientists and both distinguished international figures  compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. Since the publication in 1924 of the "Methoden der mathematischen Physik" by Courant and Hilbert, there has been no other comprehensive and uptodate publication presenting the mathematical tools needed in applications of mathematics in directly implementable form. The advent of large computers has in the meantime revolutionised methods of computation and made this gap in the literature intolerable: the objective of the present work is to fill just this gap. Many phenomena in physical mathematics may be modeled by a system of partial differential equations in distributed systems: a model here means a set of equations, which together with given boundary data and, if the phenomenon is evolving in time, initial data, defines the system. The advent of highspeed computers has made it possible for the first time to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way. Every facet of technical and industrial activity has been affected by these developments. Modeling by distributed systems now also supports work in many areas of physics (plasmas, new materials, astrophysics, geophysics), chemistry and mechanics and is finding increasing use in the life sciences. The main physical examples examined in the 6 volumes are presented in Chapter I: Classical Fluids and the NavierStokes System; Linear Elasticity, Linear Viscoelasticity, Electromagnetism and Maxwell's Equation, Neutronics, and Quantum Physics. Then a first examination of the mathematical models is given. Chapter II is devoted to the study of the Laplacian operator by methods which only use classical tools
Recent advances in nonlinear elliptic and parabolic equations : proceedings of an international conference, Nancy, March 1988
(
Book
)
2 editions published in 1989 in English and held by 8 WorldCat member libraries worldwide
Regularizing effects of homogeneous evolution equations
by Michael G Crandall
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Book
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4 editions published in 1980 in English and held by 6 WorldCat member libraries worldwide It is wellknown that solving the initialvalue problem for the heat equation forward in time takes a 'rough' initial temperature into a temperature which is smooth at later times t> greater than 0. One aspect of this is the validity of certain estimates on tut when u is a solution of the heat equation. In this paper we prove related estimates on nonlinear evolution equations which are governed by homogeneous nonlinearities. The results apply to classes of nonlinear diffusion equations and to conservation laws. The results are interesting from the point of view of identifying a new 'regularization' mechanism and the estimates themselves cast new light on the nature of the solutions of some initialvalue problems with rough initial data
Opérateurs maximaux monotones et semigroupes de contractions dans les espaces de Hilbert : cours
by H Brézis
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Book
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1 edition published in 1971 in French and held by 6 WorldCat member libraries worldwide
Les semigroupes et les équations d'évolution : seminaire, deuxième année 19711972
by Seminaire sur les semigroupes et les équations d'évolution
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Book
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2 editions published between 1973 and 1979 in French and held by 6 WorldCat member libraries worldwide
Proceedings
by Journees d'analyse non lineaire
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Book
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1 edition published in 1978 in English and held by 5 WorldCat member libraries worldwide
Journees D'Analyse Non Lineaire
by P Bénilan
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2 editions published between 1978 and 2008 in French and English and held by 5 WorldCat member libraries worldwide
Séminaire les semigroupes et les equations d'evolution : deuxième année 19711972
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Book
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2 editions published in 1974 in French and held by 5 WorldCat member libraries worldwide
Evolution equations : proceedings in honor of J.A. Goldstein's 60th birthday
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Book
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1 edition published in 2003 in English and held by 5 WorldCat member libraries worldwide
Analyse mathematique et calcul numerique pour les sciences et les techniques
by Robert Dautray
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Book
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2 editions published in 1987 in French and held by 3 WorldCat member libraries worldwide
A semilinear elliptic equation in L¹(IR [superscript n])
by P Bénilan
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Book
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4 editions published in 1975 in English and Undetermined and held by 3 WorldCat member libraries worldwide
A semilinear elliptic equation in L 1 (IR N)
by P Bénilan
(
Book
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1 edition published in 1975 in English and held by 2 WorldCat member libraries worldwide
Analyse mathématique et calcul numérique pour les sciences et les techniques
by Robert Dautray
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Book
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1 edition published in 1987 in French and held by 2 WorldCat member libraries worldwide
The Continuous Dependence on psi of Solutions of u sub t  (delta)psi(u) = O
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Book
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1 edition published in 1979 in English and held by 2 WorldCat member libraries worldwide The initialvalue problem for equations of the form u sub t  (delta)psi(u) = O where psi:R approaches R is nondecreasing arises in many contexts. The main results of this paper concern the continuity of the solutions of this initialvalue problem as a function of psi. Depending on the behavior of psi near zero, one finds either that the solutions are continuous as a function of psi or into a weaker space. A variety of auxiliary results are proved and the sharpness of the condition which distinguishes between the above cases is established. (Author)
QUELQUES RELATIONS ENTRE L'ANALYSE FONCTIONNELLE LINEAIRE ET NON LINEAIRE
by EL HACHEM ALAARABIOU
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Book
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1 edition published in 1994 in French and held by 2 WorldCat member libraries worldwide LES DEUX PARTIES INDEPENDANTES DE CE TRAVAIL TRAITENT QUELQUES RELATIONS LIANT L'ANALYSE FONCTIONNELLE LINEAIRE ET NON LINEAIRE. PLUS PRECISEMENT, ET DANS UN PREMIER TEMPS, NOUS NOUS INTERESSONS AU COURS DE LA PREMIERE PARTIE A L'ETUDE DE LA CONVERGENCE DES SOLUTIONS APPROCHEES D'UN PROBLEME D'EVOLUTION NON LINEAIRE DE LA FORME L(UU#0) + AU F SUR E E.L.C., OU L EST UN OPERATEUR LINEAIRE DE C#0(E) ET A UN OPERATEUR ACCRETIF SUR UN ESPACE DE BANACH X. POUR CELA, NOUS NOUS ARRANGEONS DE FACON A SE DEFAIRE, DES LES PREMIERS TEMPS, DE LA NON LINEARITE DE A ET PAR CONSEQUENT DE SE RAMENER A UN PROBLEME DE CONVERGENCE DANS LE CADRE DE L'ANALYSE FONCTIONNELLE LINEAIRE. DANS UN SECOND TEMPS, NOUS ETENDONS AU COURS DE LA SECONDE PARTIE, QUELQUES RESULTATS CONCERNANT LE CALCUL FONCTIONNEL LINEAIRE A LA FAMILLE DES OPERATEURS LINEAIRES MULTIVOQUES NONNEGATIFS SUR UN ESPACE DE BANACH. NOUS ETUDIONS LA PUISSANCE FRACTIONNAIRE DE CES OPERATEURS, ET NOUS PROLONGEONS QUELQUES RESULTATS EXISTANT DANS CE DOMAINE. CETTE APPROCHE SE BASE SURTOUT SUR DES OUTILS D'ANALYSE FONCTIONNELLE NON LINEAIRE TELS LES OPERATEURS MULTIVOQUES ET LA LIMITE INFERIEURE D'UNE FAMILLE D'OPERATEURS more
fewer
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Associated Subjects
Calculus, Operational Differential equations Differential equations, Elliptic Differential equations, Linear Differential equations, Nonlinear Differential equations, Parabolic Differential equations, Partial Engineering mathematics Equations Evolution equations Evolution equations, Nonlinear Initial value problems Mathematical analysis Mathematics Mechanics Nonlinear theories Numerical analysis Semigroups

Alternative Names
Bénilan, P.
Bénilan, Philippe, 1940
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