Radial equivalence and applications to the qualitative theory for a class of nonhomogeneous reaction-diffusion equations
dc.contributor.author | Sanchez, Ariel | |
dc.contributor.author | Iagar, Razvan Gabriel | |
dc.date.accessioned | 2024-02-07T08:30:01Z | |
dc.date.available | 2024-02-07T08:30:01Z | |
dc.date.issued | 2023 | |
dc.identifier.citation | R. G. Iagar and A. Sánchez, Radial equivalence and applications to the qualitative theory for a class of nonhomogeneous reaction-diffusion equations, Math. Meth. Appl. Sci. 46 (2023), 15799–15827. DOI 10.1002/mma.9427 | es |
dc.identifier.issn | 0170-4214 | |
dc.identifier.uri | https://hdl.handle.net/10115/29820 | |
dc.description.abstract | Some transformations acting on radially symmetric solutions to the followingclass of nonhomogeneous reaction-diffusion equations|x|𝜎1𝜕tu=Δum+|x|𝜎2up,(x,t)∈RN×(0,∞),which has been proposed in a number of previous mathematical works as wellas in several physical models, are introduced. We consider herem≥1,p≥1,N≥1, and𝜎1,𝜎2real exponents. We apply these transformations in connec-tion to previous results on the one hand to deduce general qualitative propertiesof radially symmetric solutions and on the other hand to construct self-similarsolutions, which are expected to be patterns for the dynamics of the equations,strongly improving the existing theory. We also introduce mappings betweensolutions which work in the semilinear casem=1 | es |
dc.language.iso | eng | es |
dc.publisher | Wiley-Blackwell | es |
dc.subject | Hardy-Hénon equations, nonhomogeneous porous medium, radially symmetric solutions, reaction-diffusion equations, self-similar solutions, weighted reaction | es |
dc.title | Radial equivalence and applications to the qualitative theory for a class of nonhomogeneous reaction-diffusion equations | es |
dc.type | info:eu-repo/semantics/review | es |
dc.identifier.doi | 10.1002/mma.9427 | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
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