Numerical methods were first put into use as an effective tool for solving partial differential
equations (PDEs) by John von Neumann in the mid-1940s. In a 1949 letter von Neumann …

This book gives an exposition of the principal concepts and results related to second order
elliptic and parabolic equations for measures, the main examples of which are Fokker …

This textbook is a completely revised, updated, and expanded English edition of the
important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and …

Now back in print by the AMS, this is a significantly revised edition of a book originally
published in 1987 by Academic Press. This book gives the reader an introduction to the …

The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

This two-volume text in harmonic analysis introduces a wealth of analytical results and
techniques. It is largely self-contained and will be useful to graduate students and …

2.1 Integral transforms.......................... 5 2.1. 1 Laplace transform...................... 5 2.1. 2
Exponential Fourier transform............... 8 2.1. 3 Sin-Fourier transform.................... 10 2.1. 4 …

" Minimal surfaces date back to Euler and Lagrange and the beginning of the calculus of
variations. Many of the techniques developed have played key roles in geometry and partial …

The focus of this book is the large-scale statistical behavior of solutions of divergence-form
elliptic equations with random coefficients, which is closely related to the long-time …

A diffusive predator–prey system with Holling type-II predator functional response subject to
Neumann boundary conditions is considered. Hopf and steady state bifurcation analysis are …