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May 9, 2024Open Access

Soliton resolution for the energy-critical nonlinear heat equation in the radial case

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Abstract

We establish the Soliton Resolution Conjecture for the radial critical non-linear heat equation in dimension D≥ 3. Thus, every finite energy solution resolves, continuously in time, into a finite superposition of asymptotically decoupled copies of the ground state and free radiation.

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Cite This Study

Shrey Aryan (2024) studied this question.

synapsesocial.com/papers/68e6aec4b6db643587630fe0 https://doi.org/10.48550/arxiv.2405.06005

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