Show simple item record

dc.contributor.advisor Jones, B. Frank
dc.creatorShapiro, Michael Richard
dc.date.accessioned 2018-12-18T21:29:25Z
dc.date.available 2018-12-18T21:29:25Z
dc.date.issued 1973
dc.identifier.urihttps://hdl.handle.net/1911/104723
dc.description.abstract Let be a bounded open set in Fnx (tQ,t^) such that each cross section t = nfl(Rnx {t}) is star-like. We define the lateral boundary ST Q = U SO,. L t€(t,tl) C and the parabolic boundary S^O = ô^O U t where fl. denotes the base of * c Theorem 1.1: Let be as above, then there exists a function u such that u is continuous in OU S^O* u > in Q, u = on S^O, and u is caloric in . Theorem 122; Suppose the boundary of extends continuously to a point (x',tQ) in the boundary of the base. Then there exists a kernel function in at the point (x',tQ). Theorem 1.3: There exists a kernel function at an interior point (XQ,tg) of the base of . If we restrict our attention somewhat we obtain the 2 following asymptotic relations Suppose a e c (,1], aa." e L^(,1), a(t) •> as t -* , and a > on (,T).
dc.format.extent 28 pp
dc.language.iso eng
dc.title On the existence of kernel functions for the heat equation in n dimensions
dc.identifier.digital RICE2359
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Mathematical Sciences
thesis.degree.discipline Engineering
thesis.degree.grantor Rice University
thesis.degree.level Masters
thesis.degree.name Master of Arts
dc.format.digitalOrigin reformatted digital
dc.identifier.callno Thesis Math. 1973 Shapiro
dc.identifier.citation Shapiro, Michael Richard. "On the existence of kernel functions for the heat equation in n dimensions." (1973) Master’s Thesis, Rice University. https://hdl.handle.net/1911/104723.


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record