Local and global properties of p-Laplace Hénon equation

Du, Geyang; Zhou, Shulin

doi:10.1016/j.jmaa.2024.128148

Journal of Mathematical Analysis and Applications

2024

DOI: 10.1016/j.jmaa.2024.128148

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Local and global properties of p-Laplace Hénon equation

Geyang Du,

Shulin Zhou

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2024

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Unconditional uniqueness and non-uniqueness for Hardy–Hénon parabolic equations

Chikami,

Ikeda,

Taniguchi

et al. 2024

Math. Ann.

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We study the problems of uniqueness for Hardy–Hénon parabolic equations, which are semilinear heat equations with the singular potential (Hardy type) or the increasing potential (Hénon type) in the nonlinear term. To deal with the Hardy–Hénon type nonlinearities, we employ weighted Lorentz spaces as solution spaces. We prove unconditional uniqueness and non-uniqueness, and we establish uniqueness criterion for Hardy–Hénon parabolic equations in the weighted Lorentz spaces. The results extend the previous works on the Fujita equation and Hardy equations in Lebesgue spaces.

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Unconditional uniqueness and non-uniqueness for Hardy–Hénon parabolic equations

Chikami,

Ikeda,

Taniguchi

et al. 2024

Math. Ann.

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Local and global properties of p-Laplace Hénon equation

Cited by 1 publication

References 20 publications

Unconditional uniqueness and non-uniqueness for Hardy–Hénon parabolic equations

Unconditional uniqueness and non-uniqueness for Hardy–Hénon parabolic equations

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