Carleman inequalities with convex weights
<p>In this thesis we show that if n ≥ 2, and ϕ is a convex function on the bounded convex domain Ω, then there is a constant A = A(n,p,q,|Ω|) such that ||e^ϕƒ||L_(Ω) ≤ A||e^ϕ∆ƒ||Lp(Ω) holds for all ƒ Є C(^∞_0)(Ω), and for the following values of p and q: p = n/2 and q < 2n/(n - 3...
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| Format: | Others |
| Language: | en |
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1992
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| Online Access: | https://thesis.library.caltech.edu/6661/1/Evasius_dm_1992.pdf Evasius, Dean M. (1992) Carleman inequalities with convex weights. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/4v8q-vv71. https://resolver.caltech.edu/CaltechTHESIS:09092011-152345667 <https://resolver.caltech.edu/CaltechTHESIS:09092011-152345667> |
Internet
https://thesis.library.caltech.edu/6661/1/Evasius_dm_1992.pdfEvasius, Dean M. (1992) Carleman inequalities with convex weights. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/4v8q-vv71. https://resolver.caltech.edu/CaltechTHESIS:09092011-152345667 <https://resolver.caltech.edu/CaltechTHESIS:09092011-152345667>