The authors establish local well-posedness in Orlicz spaces for exponential nonlinearity, global existence for small data, and large-time decay rates in Lebesgue spaces for the mixed operator heat equation.
Carhuas-Torre, R
2 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 2representative citing papers
Establishes sharp Fujita-type blow-up and global existence criteria for mixed local-nonlocal parabolic equations with regularly varying time weights, plus nonexistence results and small-data global existence for the forced case.
citing papers explorer
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Heat equations driven by mixed local-nonlocal operators with exponential nonlinearity
The authors establish local well-posedness in Orlicz spaces for exponential nonlinearity, global existence for small data, and large-time decay rates in Lebesgue spaces for the mixed operator heat equation.
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Fujita Phenomenon for a Mixed Local-Nonlocal Hardy-H\'enon Equation with Regularly Varying Time Weights
Establishes sharp Fujita-type blow-up and global existence criteria for mixed local-nonlocal parabolic equations with regularly varying time weights, plus nonexistence results and small-data global existence for the forced case.