Well-posedness and regularity for a fractional tumor growth model

zbMath1477.35282arXiv1906.10874MaRDI QIDQ5004851

Pierluigi Colli, Gianni Gilardi, Juergen Sprekels

Publication date: 3 August 2021

Full work available at URL: https://arxiv.org/abs/1906.10874

zbMATH Keywords

well-posednessfractional operatorsregularity of solutionstumor growth modelsCahn-Hilliard systems

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Abstract parabolic equations (35K90) Initial-boundary value problems for higher-order parabolic equations (35K35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Fractional derivatives and integrals (26A33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell biology (92C37) Cell movement (chemotaxis, etc.) (92C17) Fractional partial differential equations (35R11) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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