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Inhomogeneous parabolic equations on unbounded metric measure spaces
Item metadata
| dc.contributor.author | Falconer, Kenneth John | |
| dc.contributor.author | Hu, Jiaxin | |
| dc.contributor.author | Sun, Yuhua | |
| dc.date.accessioned | 2013-09-19T23:26:00Z | |
| dc.date.available | 2013-09-19T23:26:00Z | |
| dc.date.issued | 2012-10 | |
| dc.identifier.citation | Falconer , K J , Hu , J & Sun , Y 2012 , ' Inhomogeneous parabolic equations on unbounded metric measure spaces ' , Proceedings of the Royal Society of Edinburgh, Section A: Mathematics , vol. 142 , no. 5 , pp. 1003-1025 . https://doi.org/10.1017/S0308210511000539 | en |
| dc.identifier.issn | 0308-2105 | |
| dc.identifier.other | PURE: 5485274 | |
| dc.identifier.other | PURE UUID: 1165f3b4-9bb4-48e2-9497-8021a3da9512 | |
| dc.identifier.other | Scopus: 84870042560 | |
| dc.identifier.other | ORCID: /0000-0001-8823-0406/work/58055269 | |
| dc.identifier.uri | https://hdl.handle.net/10023/4061 | |
| dc.description.abstract | We study the inhomogeneous semilinear parabolic equation ut = Δu + up + f(x), with source term f independent of time and subject to f(x) ≥ 0 and with u(0, x) = φ(x) ≥ 0, for the very general setting of a metric measure space. By establishing Harnack-type inequalities in time t and some powerful estimates, we give sufficient conditions for non-existence, local existence and global existence of weak solutions, depending on the value of p relative to a critical exponent. | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Proceedings of the Royal Society of Edinburgh, Section A: Mathematics | en |
| dc.rights | (c) 2012 The Royal Society of Edinburgh | en |
| dc.subject | QA Mathematics | en |
| dc.subject.lcc | QA | en |
| dc.title | Inhomogeneous parabolic equations on unbounded metric measure spaces | en |
| dc.type | Journal article | en |
| dc.description.version | Publisher PDF | en |
| dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
| dc.identifier.doi | https://doi.org/10.1017/S0308210511000539 | |
| dc.description.status | Peer reviewed | en |
| dc.date.embargoedUntil | 2013-09-20 | |
| dc.identifier.url | http://journals.cambridge.org/abstract_S0308210511000539 | en |
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