Construction of a unique mild solution of one-dimensional Keller-Segel systems with uniformly elliptic operators having variable coefficients

DOI10.1515/MS-2017-0150zbMath1475.35181OpenAlexW2887026965MaRDI QIDQ4582648

Yumi Yahagi

Publication date: 23 August 2018

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2017-0150

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Theoretical approximation in context of PDEs (35A35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (1)

Construction of unique mild solution and continuity of solution for the small initial data to 1-D Keller-Segel system

Cites Work

• Very weak global solutions to a parabolic-parabolic chemotaxis-system with logistic source
• Initiation of slime mold aggregation viewed as an instability
• A user's guide to PDE models for chemotaxis
• Global existence and slow grow-up in a quasilinear Keller–Segel system with exponentially decaying diffusivity
• Blow‐up phenomena in chemotaxis systems with a source term

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