This Research Note presents some recent advances in various important domains of partial differential equations and applied mathematics including equations and systems of elliptic and parabolic type and various applications in physics, mechanics and engineering. These topics are now part of various areas of science and have experienced tremendous development during the last decades. -------------------------------------
This book provides an introduction to elliptic and parabolic equations.
Numerical approximations are also discussed. This book, containing 200 exercises, aims to provide a good understanding of what kind of results are available and what kinds of techniques are used to obtain them.
Most articles published in this book, which consists of 32 articles in total, written by highly distinguished researchers, are in one way or another related to the scientific works of Herbert Amann.
Let (2 C R" be a bounded Lipschitz domain with constant M. Given p, 1 < p < oO,w G 3(2, 0 < r < r0, suppose that u and v are positive p harmonic ... The Martin boundary for harmonic functions was first introduced by Martin [67].
This volume collects most of the lectures and communications presented to the International Conference which took place in Nancy in March 1988.
Adimurthi and J. Giacomoni, Bifurcation problems for superlinear elliptic indefinite equations with exponential growth, to appear in NoDeA Nonlinear Differential Equations Appl. C.J. Amick and J.F. Toland, Nonlinear Elliptic Eigenvalue ...
The SIAM series on Frontiers in Applied Mathematics publishes monographs dealing with creative work in a ... F. R., Axiomatic Consensus Theory in Group Choice and Biomathematics Banks, H. T. and Castillo-Chavez, Carlos, editors, ...
Progress in Partial Differential Equations: Elliptic and parabolic problems
This text provides an application oriented introduction to the numerical methods for partial differential equations.
This book unifies the different approaches in studying elliptic and parabolic partial differential equations with discontinuous coefficients. To the enlarging market of researchers in applied sciences, mathematics and physics, it...