The existence of solutions for tumor invasion models with time and space dependent diffusion

DOI10.3934/dcdss.2014.7.63zbMath1272.35131OpenAlexW1986553155MaRDI QIDQ2391426

Risei Kano

Publication date: 31 July 2013

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2014.7.63

zbMATH Keywords

evolution equationsubdifferentialquasi-variational inequalityheat shock protein

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Initial-boundary value problems for second-order parabolic systems (35K51) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)

Related Items (5)

Unnamed Item ⋮ Quasi-variational structure approach to systems with degenerate diffusions ⋮ The equations of the multi-phase humid atmosphere expressed as a quasi variational inequality ⋮ Haptotaxis-chemotaxis tumor invasion with weighted mass-conservative quantity ⋮ Mathematical analysis of a cloud resolving model including the ice microphysics

Cites Work

• Nonlocal quasivariational evolution problems
• A propos de l'existence et de la régularité des solutions de certaines inéquations quasi-variationnelles. (Remark on the existence and regularity of certain quasi-variational inequalities.)
• Mathematical modelling of the influence of heat shock proteins on cancer invasion of tissue
• EXISTENCE THEOREMS FOR ELLIPTIC QUASI-VARIATIONAL INEQUALITIES IN BANACH SPACES
• An elliptic quasi-variational inequality with gradient constraints and some of its applications
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