EXISTENCE RESULTS FOR A BOUNDARY VALUE PROBLEM ARISING IN GROWING CELL POPULATIONS

DOI10.1142/S0218202503002350zbMath1044.92022MaRDI QIDQ3043521

Khalid Latrach, Ahmed Zeghal

Publication date: 6 August 2004

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

fixed point theoremstransport equationBoundary value problemDunford-Pettis weak compactness criteria

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Partial functional-differential equations (35R10) Cell biology (92C37) Boundary value problems for nonlinear first-order PDEs (35F30)

Related Items (10)

FROM THE MATHEMATICAL KINETIC THEORY TO MODELLING COMPLEX SYSTEMS IN APPLIED SCIENCES ⋮ Existence results for nonlinear mono-energetic singular transport equations: \(L^p\)-spaces ⋮ Spectral distribution of transport operator arising in growing cell populations ⋮ Existence and uniqueness results for a nonlinear evolution equation arising in growing cell populations ⋮ Existence results for nonlinear mono-energetic singular transport equations: \(L_1\)-spaces ⋮ MATHEMATICAL TOPICS ON THE MODELLING COMPLEX MULTICELLULAR SYSTEMS AND TUMOR IMMUNE CELLS COMPETITION ⋮ Semigroup generation properties of streaming operators with noncontractive boundary conditions ⋮ On a nonlinear version of Rotenberg model with infinite maturation velocities ⋮ Generalized kinetic theory approach to modeling spread- and evolution of epidemics ⋮ Existence results for a nonlinear version of Rotenberg model with infinite maturation velocities

Cites Work

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• A Fokker-Planck equation for growing cell populations
• From the Jager and Segel model to kinetic population dynamics nonlinear evolution problems and applications.
• A nonlinear boundary value problem arising in growing cell populations
• NUMERICAL CONTINUATION OF EQUILIBRIA OF PHYSIOLOGICALLY STRUCTURED POPULATION MODELS I: THEORY
• COMPACTNESS RESULTS FOR TRANSPORT EQUATIONS AND APPLICATIONS
• On a nonlinear stationary problem arising in transport theory

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