Scholarlink

<p>We study the hypoellipticity and solvability properties of a class of time-periodic evolution operators, with coefficients globally defined on <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathbb {R}^d\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mi mathvariant="double-struck">R</mi> </mrow> <mi>d</mi> </msup> </math></EquationSource> </InlineEquation> and growing polynomially with respect to the space variable. To this aim, we introduce a class of time-periodic weighted Sobolev spaces, whose elements are characterised in terms of suitable Fourier expansions associated with elliptic operators.</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

Global hypoellipticity and solvability for a class of evolution operators in time-periodic weighted Sobolev spaces

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年3月3日

查看全文
  • Fernando de Ávila Silva,
  • Matteo Bonino,
  • Sandro Coriasco

摘要

We study the hypoellipticity and solvability properties of a class of time-periodic evolution operators, with coefficients globally defined on \(\mathbb {R}^d\) R d and growing polynomially with respect to the space variable. To this aim, we introduce a class of time-periodic weighted Sobolev spaces, whose elements are characterised in terms of suitable Fourier expansions associated with elliptic operators.