In this article, spatial analyticity of solutions to Keller–Segel equation of parabolic–elliptic type with generalized dissipation is presented. First, we prove the analyticity of local solutions to system with large… Click to show full abstract
In this article, spatial analyticity of solutions to Keller–Segel equation of parabolic–elliptic type with generalized dissipation is presented. First, we prove the analyticity of local solutions to system with large rough initial data in Modulation spaces $$M_{2, 1}^{1-2\beta }$$M2,11-2β with $$\beta \in (\frac{1}{2},1]$$β∈(12,1]. Secondly, we establish the analyticity of solutions to the system with initial data in critical Fourier–Besov spaces $$\dot{ FB }^{-2\beta +n-n/p}_{p,r}$$FB˙p,r-2β+n-n/p with $$\beta \in (\frac{1}{2},1], 1
               
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