With a historical overview by Elvira Mascolo
... Cm1 +m2 \{0}) such that ho g = (0. ohl)”, (g” *") = g oh for all g e S" with l =l112. To see (6°), for an element u0 % Fia. (S") let Go = {g e S'; guo = u0} be the subgroup of S fixing u0. Since uo 2 Fia. (S"), Go is discrete, ...
This volume provides the texts of lectures given by L. Ambrosio, L. Caffarelli, M. Crandall, L.C. Evans, N. Fusco at the Summer course held in Cetraro (Italy) in 2005.
While the development and analysis of numerical methods for linear partial differential equations is nearly complete, only few results are available in the case of nonlinear equations.
The purpose of this book is to give a quick and elementary, yet rigorous, presentation of the rudiments of the so-called theory of Viscosity Solutions which applies to fully nonlinear 1st and 2nd order Partial Differential Equations (PDE).
This book is not a textbook, but rather a coherent collection of papers from the field of partial differential equations.
This book presents a collection of selected contributions on recent results in nonlinear partial differential equations from participants to an international conference held in Fes, Morocco in 1994.
The resulting book is divided accordingly into 2 parts, and neatly illustrates the 2-way interaction of problems and methods.
Calculus of Variations and Partial Differential Equations: Proceedings of a Conference, held in Trento, Italy, June 16-21, 1986
In this work we present a new family of differential equations called "implicit partial differential equations", described in detail in the introduction (c.f. Chapter 1).
u(v – u) dé) dt = 0 for every v € KU, where p is the solution of 6 –# + Ap + ap = -kCo div (Vyu – Val" (Vy, – Va)) in Q, 6 ++bp = xCo(Ivy – Val”(Vy. – V.), a on 2, 6n A p(T) = 6Caly.(T) – ya!”(y.(T) – ya) in Q, with a =?'(yu), ...