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math.AP2025
Multiplicity of singular solutions for semilinear elliptic equations with superlinear source terms
Yohei Fujishima, Norisuke Ioku
This paper investigates the multiplicity of singular solutions for the nonlinear elliptic equation near the origin. Applying the classification of nonlinear functions a…
math.AP2025
Non-uniqueness of mild solutions for 2d-heat equations with singular initial data
Yohei Fujishima, Norisuke Ioku, Bernhard Ruf +1
In a recent article by the authors [15] it was shown that wide classes of semilinear elliptic equations with exponential type nonlinearities admit singular radial solutions on…
physics.ao-ph2025
Atmospheric Predictability Beyond 30 Days with Machine Learning
P. Trent Vonich, Gregory J. Hakim
Atmospheric predictability research has long held that rapid error growth at small spatial scales imposes an intrinsic limit of roughly two weeks on deterministic weather forecast…