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<p>This paper is concerned with a class of time-fractional subdiffusion-normal transport equations that describe the transition from subdiffusion to normal diffusion. Our primary contribution is the establishment of the well-posedness and Strichartz estimates for global solutions on the unbounded domain <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathbb R^N\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi mathvariant="double-struck">R</mi> <mi>N</mi> </msup> </math></EquationSource> </InlineEquation>. Furthermore, we extend our analysis to bounded domains with smooth boundaries, proving well-posedness and Strichartz estimates for small initial data and under the condition of a polynomial growth nonlinearity.</p>

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Global solutions to semilinear subdiffusion-normal transport equations: well-posedness and Strichartz estimates

  • 期刊论文

  • 发表日期：

    2026年7月17日

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  • Jia Wei He,
  • Shi Qi Li,
  • Li Peng

摘要

This paper is concerned with a class of time-fractional subdiffusion-normal transport equations that describe the transition from subdiffusion to normal diffusion. Our primary contribution is the establishment of the well-posedness and Strichartz estimates for global solutions on the unbounded domain \(\mathbb R^N\) R N . Furthermore, we extend our analysis to bounded domains with smooth boundaries, proving well-posedness and Strichartz estimates for small initial data and under the condition of a polynomial growth nonlinearity.