MAPPING PROPERTIES OF HEAT KERNELS, MAXIMAL REGULARITY, AND SEMI-LINEAR PARABOLIC EQUATIONS ON NONCOMPACT MANIFOLDS
نویسندگان
چکیده
منابع مشابه
Mapping properties of heat kernels, maximal regularity, and semi-linear parabolic equations on noncompact manifolds
Let L : C∞(M ;E)→ C∞(M ;E) be a second order, uniformly elliptic, semipositive-definite differential operator on a complete Riemannian manifold of bounded geometry M , acting between sections of a vector bundle with bounded geometry E over M . We assume that the coefficients of L are uniformly bounded. Using finite speed of propagation for L, we investigate properties of operators of the form f...
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ژورنال
عنوان ژورنال: Journal of Hyperbolic Differential Equations
سال: 2006
ISSN: 0219-8916,1793-6993
DOI: 10.1142/s0219891606000938