On Gaussian decay estimates of solutions to some linear elliptic equations and their applications

Maekawa, Yasunori

doi:10.1007/s00033-010-0080-5

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2012

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Cited by 2 publications

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“…The proof of Proposition 6 is almost the same as in [22,Proposition 1.1], although real-valued functions are considered there. For convenience to the reader we give the proof of Proposition 6 in Appendix A.2.…”

Section: This Is Given Bymentioning

confidence: 96%

On asymptotic behaviors of solutions to parabolic systems modelling chemotaxis

Kagei

Maekawa

2012

Journal of Differential Equations

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This paper deals with large time behaviors of solutions to a KellerSegel system which possesses self-similar solutions. By taking into account the invariant properties of the equation with respect to a scaling and translations, we show that suitably shifted self-similar solutions give more precise asymptotic profiles of general solutions at large time. The convergence rate is also computed in details.

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Section: This Is Given Bymentioning

confidence: 96%