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<p>We derive bounds on the blow-up time of a weak solution to an evolution equation with singular coefficients. The proofs make use of Hardy’s inequality and a Sobolev-type embedding from the natural energy space into Lebesgue spaces with singular weights.</p>

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Blow-up estimates for a class of inhomogeneous parabolic equations with singular coefficients

  • 期刊论文

  • 发表日期：

    2026年7月9日

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  • Nguyen Xuan Viet Trung

摘要

We derive bounds on the blow-up time of a weak solution to an evolution equation with singular coefficients. The proofs make use of Hardy’s inequality and a Sobolev-type embedding from the natural energy space into Lebesgue spaces with singular weights.