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Simultaneous recovery of multiple parameters in nonlocal diffusion equations from internal measurements

Announce Type: new Abstract: This paper is devoted to simultaneously recovering multiple parameters from internal measurements for nonlocal diffusion equations. The uniqueness of the inverse problem is established by employing the asymptotic behavior of solutions, analytic continuation, the Laplace transform, and properties of analytic functions. For numerical reconstruction, we apply the Levenberg-Marquardt method to obtain a stable approximate solution of the inverse problem.

arXiv CS 1d ago

Natural Selection in the Wake of Catastrophe

arXiv:2606.09040v1 Announce Type: cross Abstract: Living organisms, from bacteria to humans, are more likely to survive if their traits enhance fitness. In populations well adapted to their environmental niches, natural selection proceeds via rarely beneficial mutations. But when a catastrophe wipes out niche diversity, sudden adaptation often follows.

arXiv Physics 1d ago