Existence of Gevrey approximate solutions for certain systems of linear vector fields applied to involutive systems of first-order nonlinear pdes期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Existence of Gevrey approximate solutions for certain systems of linear vector fields applied to involutive systems of first-order nonlinear pdes

Authors:	Rafael F. Barostichi

Affiliation:	Universidade Federal de São Carlos, Departamento de Matemática, São Carlos, SP 13565-905, Brazil

Abstract:	Given a Gs-involutive structure, (M,V), a Gevrey submanifold X⊂M which is maximally real and a Gevrey function u₀ on X we construct a Gevrey function u which extends u₀ and is a Gevrey approximate solution for V. We then use our construction to study Gevrey micro-local regularity of solutions, u∈C²(RN), of a system of nonlinear pdes of the form

Keywords:	Gevrey approximate solutions for a system Gevrey wave-front set System of nonlinear pde of first order
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