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<p>The gradient of weak solutions to porous medium-type equations or systems possesses a higher integrability than the one assumed in the pure notion of a solution. We settle the critical and sub-critical, singular case and complete the program.</p>

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Local boundedness and higher integrability for the sub-critical singular porous medium system

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月2日

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  • Verena Bögelein,
  • Frank Duzaar,
  • Ugo Gianazza,
  • Naian Liao

摘要

The gradient of weak solutions to porous medium-type equations or systems possesses a higher integrability than the one assumed in the pure notion of a solution. We settle the critical and sub-critical, singular case and complete the program.