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February 24, 2026Journal of Evolution EquationsOpen Access

The semilinear heat inequality with Morrey initial data on Riemannian manifolds

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ADAnuk Dayaprema

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Overview

Analysis obtains estimates for solutions of a differential inequality on Riemannian manifolds, indicating bounds for initial data.

Key Points

  • To derive estimates for nonnegative solutions of a semilinear heat inequality involving Morrey initial data over Riemannian manifolds.
  • Used a differential inequality framework to analyze nonnegative solutions.
  • Applied Morrey norms to characterize the initial data on Riemannian manifolds.
  • Established L-infinity estimates under certain bounds for initial conditions.
  • Demonstrated that solutions remain bounded under specific Morrey norms.
  • Provided conditions under which initial data influences long-term behavior of solutions.
  • Identified ranges for parameters q and s that affect the outcomes of the estimates.

Cite This Study

Anuk Dayaprema (2026) studied this question.

synapsesocial.com/papers/699d4028de8e28729cf653d5https://doi.org/10.1007/s00028-026-01186-x
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