Weak Convergence Theorems for Nonlinear Partial Differential Equations of First and Second Order | Zendy

Ball John M. | Zendy; Evans Lawrence C. | Zendy

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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.

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