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Generation of analytic semigroups in the $$L^ p$$ topology by elliptic operators in $${\mathbb{R}}^ n$$. (English) Zbl 0669.35026
The paper deals with some spectral properties of a strongly elliptic differential operator with unbounded coefficients. Generation of analytic semigroups in $$L^ p({\mathbb{R}}^ n)$$ is involved and an application to a Cauchy problem of parabolic type is given.
Reviewer: C.A.Marinov

##### MSC:
 35J15 Second-order elliptic equations 47D03 Groups and semigroups of linear operators 35A20 Analyticity in context of PDEs 35K15 Initial value problems for second-order parabolic equations
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