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math.AP2026
Mixed Grushin Heat Equations with Riesz-Potential Nonlinearities in Marcinkiewicz Spaces: Subcritical, Critical, and Supercritical Regimes
Aparajita Dasgupta, Uttam Kumar Dolai
We study the nonlinear evolution equation where is the nonnegative self adjoint realization of Grushin o…
math.AP2026
Hartee-type heat equation associated to fractional anharmonic oscillator on weighted modulation spaces
Aparajita Dasgupta, Uttam Kumar Dolai
We study Hartree-type nonlinear heat equations associated with fractional generalised anharmonic oscillators \(A_{k,l}\) in weighted modulation spaces. We first derive Strichartz-t…