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Mathematics > Analysis of PDEs

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

Authors: Shrey Aryan
(Submitted on 9 May 2024)
Abstract: We establish the Soliton Resolution Conjecture for the radial critical non-linear heat equation in dimension $D\geq 3.$ Thus, every finite energy solution resolves, continuously in time, into a finite superposition of asymptotically decoupled copies of the ground state and free radiation.
Comments: 33 pages. arXiv admin note: substantial text overlap with arXiv:2210.14963, arXiv:2203.09614, arXiv:2106.10738 by other authors
Subjects: Analysis of PDEs (math.AP)
Cite as: arXiv:2405.06005 [math.AP]
  (or arXiv:2405.06005v1 [math.AP] for this version)

Submission history

From: Shrey Aryan [view email]
[v1] Thu, 9 May 2024 17:35:49 GMT (41kb)
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