Parabolic logistic equation with harvesting involving the fractional Laplacian

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F24%3A43972876" target="_blank" >RIV/49777513:23520/24:43972876 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00030-024-00992-x" target="_blank" >https://doi.org/10.1007/s00030-024-00992-x</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00030-024-00992-x" target="_blank" >10.1007/s00030-024-00992-x</a>

Result language
angličtina
Original language name
Parabolic logistic equation with harvesting involving the fractional Laplacian
Original language description
This paper deals with a class of parabolic reaction-diffusion equations driven by the fractional Laplacian as the diffusion operator over a bounded domain with zero Dirichlet external condition. Using a comparison principle and monotone iteration method, we establish existence and uniqueness results. We apply the existence result to the logistic growth problems with constant yield harvesting by constructing an ordered pair of positive sub- and supersolution of the corresponding elliptic problem.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/GA22-18261S" target="_blank" >GA22-18261S: Nonlinear problems with non-standard diffusion</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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