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math.AP2025
Global well-posedness for a time-fractional doubly nonlinear equation
Goro Akagi, Giacomo Enrico Sodini, Ulisse Stefanelli
We consider a time-fractional parabolic equation of doubly nonlinear type, featuring nonlinear terms both inside and outside the differential operator in time. The main nonlinearit…
math.AP2025
Existence of distributional solutions to degenerate elliptic systems for locally integrable forcing
Goro Akagi, Hiroki Miyakawa
This paper presents an existence result and maximal regularity estimates for distributional solutions to degenerate/singular elliptic systems of -Laplacian type with absorption…
math.AP2025
Time-fractional gradient flows for nonconvex energies in Hilbert spaces
Goro Akagi, Yoshihito Nakajima
This article is devoted to presenting an abstract theory on time-fractional gradient flows for nonconvex energy functionals in Hilbert spaces. Main results consist of local and glo…