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Local behavior of solutions of quasilinear parabolic equations on metric spaces

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 نشر من قبل Janna Lierl
 تاريخ النشر 2017
  مجال البحث
والبحث باللغة English
 تأليف Janna Lierl




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We introduce a notion of quasilinear parabolic equations over metric measure spaces. Under sharp structural conditions, we prove that local weak solutions are locally bounded and satisfy the parabolic Harnack inequality. Applications include the parabolic maximum principle and pointwise estimates for weak solutions.



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