Premium
Weak Convergence Theorems for Nonlinear Partial Differential Equations of First and Second Order
Author(s) -
Ball John M.,
Evans Lawrence C.
Publication year - 1982
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-25.2.332
Subject(s) - mathematics , nonlinear system , limit (mathematics) , first order partial differential equation , partial differential equation , convergence (economics) , mathematical analysis , sequence (biology) , order (exchange) , differential equation , function (biology) , elliptic partial differential equation , physics , finance , quantum mechanics , evolutionary biology , biology , economics , genetics , economic growth
We prove under various fairly weak assumptions that if a sequence of functions u n converges to a function u , and if each u n solves some appropriate fully nonlinear partial differential equation, then u solves the limit equation.