🔢 mathematics
Continuous-in-time Bubbling for the Energy-Critical Heat Flow
This paper establishes that any finite energy solution to the energy-critical nonlinear heat flow in dimensions asymptotically decomposes into time-dependent solitons, a weak limit, and a vanishing error term, thereby proving the Soliton Resolution Conjecture for nonnegative initial data.
Original paper licensed under CC BY 4.0 (http://creativecommons.org/licenses/by/4.0/). This is an AI-generated explanation of the paper below. It is not written or endorsed by the authors. For technical accuracy, refer to the original paper. Read full disclaimer
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