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- W2159314165 abstract "We study the existence and regularity of solutions to the Cauchy problem for the inhomogeneous heat equation on compact Riemannian manifolds with conical singularities. We introduce weighted Holder and Sobolev spaces with discrete asymptotics and we prove existence and maximal regularity of solutions to the Cauchy problem for the inhomogeneous heat equation, when the free term lies in a weighted parabolic Holder or Sobolev space with discrete asymptotics. This generalizes a result previously obtained by Coriasco, Schrohe, and Seiler (Thm. 7.2 in Math. Z. 244 (2003), 235--269) by different means." @default.
- W2159314165 created "2016-06-24" @default.
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- W2159314165 date "2011-05-11" @default.
- W2159314165 modified "2023-09-27" @default.
- W2159314165 title "On the Cauchy problem for the heat equation on Riemannian manifolds with conical singularities" @default.
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