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Abstract A one-dimensional Keller-Segel system which is defined through uniformly elliptic operators having variable coefficients is considered. In the main theorems, the local existence and uniqueness of the mild solution… Click to show full abstract
Abstract A one-dimensional Keller-Segel system which is defined through uniformly elliptic operators having variable coefficients is considered. In the main theorems, the local existence and uniqueness of the mild solution of the system are proved. The main method to construct the mild solution is an argument of successive approximations by means of strongly continuous semi-groups.
Keywords:
one dimensional;
uniformly elliptic;
mild solution;
solution;
keller segel;
dimensional keller
Journal Title: Mathematica Slovaca
Year Published: 2018
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Journal Title: Mathematica Slovaca
Year Published: 2018
Link to full text (if available)
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recommendations!