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The chaos of the solution semigroup for the quasi-linear Lasota equation. (English) Zbl 1251.35034

Summary: We are concerned with the solution semigroup of a quasi-linear Lasota equation. We show the existence and uniqueness of a solution semigroup for the quasi-linear Lasota equation. We also find a necessary and sufficient condition for the solution semigroup of the equation to be chaotic.

MSC:

35K30 Initial value problems for higher-order parabolic equations
47D03 Groups and semigroups of linear operators

Keywords:

Lasota equation
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