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<p>The paper concerns the study of the Cauchy-Dirichlet problem for a class of third order hyperbolic operators in a domain of <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathbb {R}^3\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mi mathvariant="double-struck">R</mi> </mrow> <mn>3</mn> </msup> </math></EquationSource> </InlineEquation>. Firstly, a priori local and global estimates are established. Then, some existence results are obtained.</p>

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Existence results for the Cauchy-Dirichlet problem for a class of third order hyperbolic operators

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年12月15日

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  • Annamaria Barbagallo,
  • Vincenzo Esposito

摘要

The paper concerns the study of the Cauchy-Dirichlet problem for a class of third order hyperbolic operators in a domain of \(\mathbb {R}^3\) R 3 . Firstly, a priori local and global estimates are established. Then, some existence results are obtained.