Scholarlink

<p>We state and prove here semiclassical results about the construction of asymptotic solutions by the WKB method for pseudo-differential equations of real principal type. It is a Gevrey version; the smooth <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(C^\infty \)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>C</mi> <mi>∞</mi> </msup> </math></EquationSource> </InlineEquation> and the analytic ones may be found in Hörmander [<CitationRef CitationID="CR1">1</CitationRef>] and Sjöstrand [<CitationRef CitationID="CR2">2</CitationRef>]. We present here three versions depending on the degree of entrance in the complex domain.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Pseudo Differential Operators and Fourier Integral Operators in the Gevrey setting and applications

  • 期刊论文

  • 发表日期：

    2025年10月3日

查看全文
  • Benjamin Colmey,
  • Richard Lascar

摘要

We state and prove here semiclassical results about the construction of asymptotic solutions by the WKB method for pseudo-differential equations of real principal type. It is a Gevrey version; the smooth \(C^\infty \) C ∞ and the analytic ones may be found in Hörmander [1] and Sjöstrand [2]. We present here three versions depending on the degree of entrance in the complex domain.