Raftul cu initiativa Book Archive

Mathematics

The strong maximum principle revisited by Pucci P., Serrin J.

By Pucci P., Serrin J.

Show description

Read Online or Download The strong maximum principle revisited PDF

Similar mathematics books

Measurement

For seven years, Paul Lockhart’s A Mathematician’s Lament loved a samizdat-style reputation within the arithmetic underground, sooner than call for brought on its 2009 book to even wider applause and debate. An impassioned critique of K–12 arithmetic schooling, it defined how we shortchange scholars by way of introducing them to math the opposite direction.

Control of Coupled Partial Differential Equations

This quantity comprises chosen contributions originating from the ‘Conference on optimum keep an eye on of Coupled structures of Partial Differential Equations’, held on the ‘Mathematisches Forschungsinstitut Oberwolfach’ in April 2005. With their articles, major scientists conceal a huge variety of issues akin to controllability, feedback-control, optimality platforms, model-reduction thoughts, research and optimum keep watch over of movement difficulties, and fluid-structure interactions, in addition to difficulties of form and topology optimization.

Basic Hypergeometric Series, Second Edition (Encyclopedia of Mathematics and its Applications)

This up-to-date variation will proceed to satisfy the desires for an authoritative complete research of the speedily becoming box of uncomplicated hypergeometric sequence, or q-series. It comprises deductive proofs, routines, and worthy appendices. 3 new chapters were further to this variation masking q-series in and extra variables: linear- and bilinear-generating capabilities for easy orthogonal polynomials; and summation and transformation formulation for elliptic hypergeometric sequence.

Extra info for The strong maximum principle revisited

Sample text

Stakgold, The formation of the dead core in parabolic reaction–diffusion problems, Trans. Amer. Math. , 286 (1984), 275–293. [2] Bardi, M. and F. Da Lio, On the strong maximum principle for fully nonlinear degenerate elliptic equations, Arch. , 73 (2000), 276–285. , G. I. Diaz, Uniqueness and continuum of foliated solutions for a quasilinear elliptic equation with a nonlipschitz nonlinearity, Comm. Partial Diff. Equations, 17 (1992), 1037–1050. , H. Brezis and M. Crandall, A semilinear equation in L1 (Rn ), Ann.

1). 2) reduces just to the manifold Laplacian, see [43], page 232. A specific example is given by the variational integral 1 √ |∇u|pg + F (u) dM, p > 1, where dM = gdx on Ω, Ω p √ introduced by Mossino ([24], page 40), though without the volume factor g. Here of course A(ρ) = ρp−2 , p > 1. Other examples are given also in [25]. 13) when aij (x, u) = g(x)g ij (x), B(x, u, ξ) = g(x)f (u). 13). As at the beginning of the section, we assume that (A1) and (A2) are valid, and additionally that the tensors [g ij ] = [g ij (x, u)] and [aij ] = [aij (x, u)] are continuously differentiable, 36 P.

Ramaswamy, A strong maximum principle for a class of non– positone singular elliptic problems, to appear in Nonlinear Diff. Eqs. Appl.. , Nonlinear Partial Differential Equations and Free Boundaries, Pitman Research Notes in Mathematics, 106, 1985. , Some properties of solutions of degenerate second order PDE in non divergence form, Appl. , 20 (1985), 309–336. I. A. Herrero, Estimates on the support of the solutions of some nonlinear elliptic and a parabolic problems, Proc. Royal Soc. Edinburgh, 89-A (1981), 249–258.

Download PDF sample

Rated 4.04 of 5 – based on 13 votes