Well-posedness for a class of phase-field systems modeling prostate cancer growth with fractional operators and general nonlinearities
نویسندگان
چکیده
This paper deals with a general system of equations and conditions arising from mathematical model prostate cancer growth chemotherapy antiangiogenic therapy that has been recently introduced analyzed; see P. Colli et al. \[Math. Models Methods Appl. Sci. 30 (2020), 1253–1295]. The related includes two evolutionary operator involving fractional powers selfadjoint, nonnegative, unbounded linear operators having compact resolvents. Both contain nonlinearities and, in particular, the equation describing dynamics tumor phase variable structure an Allen–Cahn double-well potential additional nonlinearity depending also on other variable, which represents nutrient concentration. for concentration is nonlinear as well, term coupling both variables. For this we design existence, uniqueness, continuous dependence theory by setting up careful analysis allows consideration nonsmooth potentials treatment properties.
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ژورنال
عنوان ژورنال: Atti della Accademia nazionale dei Lincei
سال: 2022
ISSN: ['1720-0768', '1120-6330']
DOI: https://doi.org/10.4171/rlm/969