Buccheri, Stefano; Stefanelli, Ulisse Viscosity solutions for nonlocal equations with space-dependent operators. (English) Zbl 07785721 SIAM J. Math. Anal. 56, No. 1, 336-373 (2024). MSC: 35R11 35D40 45K05 47G20 PDFBibTeX XMLCite \textit{S. Buccheri} and \textit{U. Stefanelli}, SIAM J. Math. Anal. 56, No. 1, 336--373 (2024; Zbl 07785721) Full Text: DOI arXiv
Iannizzotto, Antonio; Mosconi, Sunra; Papageorgiou, Nikolaos S. On the logistic equation for the fractional \(p\)-Laplacian. (English) Zbl 1526.35289 Math. Nachr. 296, No. 4, 1451-1468 (2023). MSC: 35R11 35B32 35J25 35J92 PDFBibTeX XMLCite \textit{A. Iannizzotto} et al., Math. Nachr. 296, No. 4, 1451--1468 (2023; Zbl 1526.35289) Full Text: DOI arXiv OA License
Arapostathis, Ari; Biswas, Anup; Roychowdhury, Prasun Generalized principal eigenvalues on \({\mathbb{R}}^d\) of second order elliptic operators with rough nonlocal kernels. (English) Zbl 1504.35199 NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 1, Paper No. 10, 31 p. (2023). MSC: 35P05 35B50 35J15 35R09 PDFBibTeX XMLCite \textit{A. Arapostathis} et al., NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 1, Paper No. 10, 31 p. (2023; Zbl 1504.35199) Full Text: DOI arXiv
Zhang, Weiyi; Liu, Zuhan; Zhou, Ling Persistence phenomena of classical solutions to a fractional Keller-Segel model with time-space dependent logistic source. (English) Zbl 07812796 Math. Methods Appl. Sci. 45, No. 17, 11683-11713 (2022). MSC: 35K51 35R35 92B05 35B40 PDFBibTeX XMLCite \textit{W. Zhang} et al., Math. Methods Appl. Sci. 45, No. 17, 11683--11713 (2022; Zbl 07812796) Full Text: DOI
Huang, Jianping; Zhou, Hua-Cheng Boundary stabilization for time-space fractional diffusion equation. (English) Zbl 1490.93103 Eur. J. Control 65, Article ID 100639, 6 p. (2022). MSC: 93D15 93C20 26A33 PDFBibTeX XMLCite \textit{J. Huang} and \textit{H.-C. Zhou}, Eur. J. Control 65, Article ID 100639, 6 p. (2022; Zbl 1490.93103) Full Text: DOI
Danczul, Tobias; Schöberl, Joachim A reduced basis method for fractional diffusion operators. I. (English) Zbl 1496.65216 Numer. Math. 151, No. 2, 369-404 (2022). Reviewer: Lijun Yi (Shanghai) MSC: 65N30 65N12 65N15 65N25 65Y05 35J15 46B70 26A33 35R11 PDFBibTeX XMLCite \textit{T. Danczul} and \textit{J. Schöberl}, Numer. Math. 151, No. 2, 369--404 (2022; Zbl 1496.65216) Full Text: DOI arXiv
Biswas, Anup; Modasiya, Mitesh A study of nonlocal spatially heterogeneous logistic equation with harvesting. (English) Zbl 1476.35298 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 214, Article ID 112599, 28 p. (2022). MSC: 35R11 35S15 35K57 35J60 92D25 PDFBibTeX XMLCite \textit{A. Biswas} and \textit{M. Modasiya}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 214, Article ID 112599, 28 p. (2022; Zbl 1476.35298) Full Text: DOI arXiv
Anedda, Claudia; Cuccu, Fabrizio; Frassu, Silvia Steiner symmetry in the minimization of the first eigenvalue of a fractional eigenvalue problem with indefinite weight. (English) Zbl 1487.35391 Can. J. Math. 73, No. 4, 970-992 (2021). MSC: 35R11 35B06 35J25 35P05 47A75 49R05 PDFBibTeX XMLCite \textit{C. Anedda} et al., Can. J. Math. 73, No. 4, 970--992 (2021; Zbl 1487.35391) Full Text: DOI arXiv
Danczul, Tobias; Schöberl, Joachim A reduced basis method for fractional diffusion operators. II. (English) Zbl 1491.65131 J. Numer. Math. 29, No. 4, 269-287 (2021). MSC: 65N30 65N12 65N15 65N25 46B70 35J15 35P10 26A33 35R11 PDFBibTeX XMLCite \textit{T. Danczul} and \textit{J. Schöberl}, J. Numer. Math. 29, No. 4, 269--287 (2021; Zbl 1491.65131) Full Text: DOI arXiv
Lin, Ying-Chieh; Wu, Tsung-Fang On the semilinear fractional elliptic equations with singular weight functions. (English) Zbl 1466.35178 Discrete Contin. Dyn. Syst., Ser. B 26, No. 4, 2067-2084 (2021). MSC: 35J61 35R11 35A01 35A15 PDFBibTeX XMLCite \textit{Y.-C. Lin} and \textit{T.-F. Wu}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 4, 2067--2084 (2021; Zbl 1466.35178) Full Text: DOI
Léculier, Alexis; Mirrahimi, Sepideh; Roquejoffre, Jean-Michel Propagation in a fractional reaction-diffusion equation in a periodically hostile environment. (English) Zbl 1464.35398 J. Dyn. Differ. Equations 33, No. 2, 863-890 (2021). MSC: 35R11 35K20 35K08 35K57 35B40 35Q92 PDFBibTeX XMLCite \textit{A. Léculier} et al., J. Dyn. Differ. Equations 33, No. 2, 863--890 (2021; Zbl 1464.35398) Full Text: DOI arXiv
Marinelli, Alessio; Mugnai, Dimitri Fractional generalized logistic equations with indefinite weight: quantitative and geometric properties. (English) Zbl 1440.35071 J. Geom. Anal. 30, No. 2, 1985-2009 (2020). Reviewer: Ramzet M. Dzhafarov (Donetsk) MSC: 35J20 35R11 35B09 PDFBibTeX XMLCite \textit{A. Marinelli} and \textit{D. Mugnai}, J. Geom. Anal. 30, No. 2, 1985--2009 (2020; Zbl 1440.35071) Full Text: DOI
Souganidis, Panagiotis E.; Tarfulea, Andrei Front propagation for integro-differential KPP reaction-diffusion equations in periodic media. (English) Zbl 1423.35212 NoDEA, Nonlinear Differ. Equ. Appl. 26, No. 4, Paper No. 29, 41 p. (2019). MSC: 35K57 35B40 47G20 45G10 PDFBibTeX XMLCite \textit{P. E. Souganidis} and \textit{A. Tarfulea}, NoDEA, Nonlinear Differ. Equ. Appl. 26, No. 4, Paper No. 29, 41 p. (2019; Zbl 1423.35212) Full Text: DOI
Cheng, Hongmei; Yuan, Rong The stability of the equilibria of the Allen-Cahn equation with fractional diffusion. (English) Zbl 1407.35124 Appl. Anal. 98, No. 3, 600-610 (2019). MSC: 35K91 35B35 35C07 35R11 PDFBibTeX XMLCite \textit{H. Cheng} and \textit{R. Yuan}, Appl. Anal. 98, No. 3, 600--610 (2019; Zbl 1407.35124) Full Text: DOI
Pellacci, Benedetta; Verzini, Gianmaria Best dispersal strategies in spatially heterogeneous environments: optimization of the principal eigenvalue for indefinite fractional Neumann problems. (English) Zbl 1390.35404 J. Math. Biol. 76, No. 6, 1357-1386 (2018). MSC: 35R11 35P15 47A75 92D25 PDFBibTeX XMLCite \textit{B. Pellacci} and \textit{G. Verzini}, J. Math. Biol. 76, No. 6, 1357--1386 (2018; Zbl 1390.35404) Full Text: DOI arXiv
Zhu, Xiaogang; Nie, Yufeng; Wang, Jungang; Yuan, Zhanbin A numerical approach for the Riesz space-fractional Fisher’ equation in two-dimensions. (English) Zbl 1364.65206 Int. J. Comput. Math. 94, No. 2, 296-315 (2017). MSC: 65M60 35R11 65M12 PDFBibTeX XMLCite \textit{X. Zhu} et al., Int. J. Comput. Math. 94, No. 2, 296--315 (2017; Zbl 1364.65206) Full Text: DOI
Massaccesi, Annalisa; Valdinoci, Enrico Is a nonlocal diffusion strategy convenient for biological populations in competition? (English) Zbl 1362.35312 J. Math. Biol. 74, No. 1-2, 113-147 (2017). Reviewer: Joseph Shomberg (Providence) MSC: 35Q92 35K57 92D25 35R11 PDFBibTeX XMLCite \textit{A. Massaccesi} and \textit{E. Valdinoci}, J. Math. Biol. 74, No. 1--2, 113--147 (2017; Zbl 1362.35312) Full Text: DOI arXiv
Rodríguez, Nancy; Berestycki, Henri A non-local bistable reaction-diffusion equation with a gap. (English) Zbl 1368.35018 Discrete Contin. Dyn. Syst. 37, No. 2, 685-723 (2017). MSC: 35B08 35B50 35K57 35R09 35C07 35B51 PDFBibTeX XMLCite \textit{N. Rodríguez} and \textit{H. Berestycki}, Discrete Contin. Dyn. Syst. 37, No. 2, 685--723 (2017; Zbl 1368.35018) Full Text: DOI
Carboni, Giulia; Mugnai, Dimitri On some fractional equations with convex-concave and logistic-type nonlinearities. (English) Zbl 1352.35217 J. Differ. Equations 262, No. 3, 2393-2413 (2017). MSC: 35R11 35J20 35J65 35J61 PDFBibTeX XMLCite \textit{G. Carboni} and \textit{D. Mugnai}, J. Differ. Equations 262, No. 3, 2393--2413 (2017; Zbl 1352.35217) Full Text: DOI
Berestycki, Henri; Coville, Jérôme; Vo, Hoang-Hung On the definition and the properties of the principal eigenvalue of some nonlocal operators. (English) Zbl 1358.47044 J. Funct. Anal. 271, No. 10, 2701-2751 (2016). MSC: 47N20 45C05 45H05 PDFBibTeX XMLCite \textit{H. Berestycki} et al., J. Funct. Anal. 271, No. 10, 2701--2751 (2016; Zbl 1358.47044) Full Text: DOI arXiv
Berestycki, Henri; Coville, Jérôme; Vo, Hoang-Hung Persistence criteria for populations with non-local dispersion. (English) Zbl 1346.35202 J. Math. Biol. 72, No. 7, 1693-1745 (2016). Reviewer: Leonid Berezanski (Beer-Sheva) MSC: 35R09 45K05 92D25 45C05 45M20 47B65 PDFBibTeX XMLCite \textit{H. Berestycki} et al., J. Math. Biol. 72, No. 7, 1693--1745 (2016; Zbl 1346.35202) Full Text: DOI arXiv
Knupp, Diego C.; Sacco, Wagner F.; Silva Neto, Antônio J. Direct and inverse analysis of diffusive logistic population evolution with time delay and impulsive culling via integral transforms and hybrid optimization. (English) Zbl 1328.35250 Appl. Math. Comput. 250, 105-120 (2015). MSC: 35Q92 92D25 35K20 PDFBibTeX XMLCite \textit{D. C. Knupp} et al., Appl. Math. Comput. 250, 105--120 (2015; Zbl 1328.35250) Full Text: DOI
Berestycki, Henri; Coulon, Anne-Charline; Roquejoffre, Jean-Michel; Rossi, Luca The effect of a line with nonlocal diffusion on Fisher-KPP propagation. (English) Zbl 1327.35175 Math. Models Methods Appl. Sci. 25, No. 13, 2519-2562 (2015). Reviewer: Philippe Laurençot (Toulouse) MSC: 35K57 35B40 35K40 35Q92 PDFBibTeX XMLCite \textit{H. Berestycki} et al., Math. Models Methods Appl. Sci. 25, No. 13, 2519--2562 (2015; Zbl 1327.35175) Full Text: DOI arXiv
Cheng, Hongmei; Yuan, Rong The spreading property for a prey-predator reaction-diffusion system with fractional diffusion. (English) Zbl 1499.92064 Fract. Calc. Appl. Anal. 18, No. 3, 565-579 (2015). MSC: 92D25 26A33 33E12 35K91 35B35 35C07 PDFBibTeX XMLCite \textit{H. Cheng} and \textit{R. Yuan}, Fract. Calc. Appl. Anal. 18, No. 3, 565--579 (2015; Zbl 1499.92064) Full Text: DOI
Xu, Yufeng; He, Zhimin; Agrawal, Om P. Numerical and analytical solutions of new generalized fractional diffusion equation. (English) Zbl 1350.65091 Comput. Math. Appl. 66, No. 10, 2019-2029 (2013). MSC: 65M06 65M12 35R11 35K57 PDFBibTeX XMLCite \textit{Y. Xu} et al., Comput. Math. Appl. 66, No. 10, 2019--2029 (2013; Zbl 1350.65091) Full Text: DOI
Cabré, Xavier; Roquejoffre, Jean-Michel The influence of fractional diffusion in Fisher-KPP equations. (English) Zbl 1307.35310 Commun. Math. Phys. 320, No. 3, 679-722 (2013). MSC: 35R11 PDFBibTeX XMLCite \textit{X. Cabré} and \textit{J.-M. Roquejoffre}, Commun. Math. Phys. 320, No. 3, 679--722 (2013; Zbl 1307.35310) Full Text: DOI arXiv
Coulon, Anne-Charline; Roquejoffre, Jean-Michel Transition between linear and exponential propagation in Fisher-KPP type reaction-diffusion equations. (English) Zbl 1263.35142 Commun. Partial Differ. Equations 37, No. 10-12, 2029-2049 (2012). Reviewer: Nasser-eddine Tatar (Dhahran) MSC: 35K57 35R11 35A08 PDFBibTeX XMLCite \textit{A.-C. Coulon} and \textit{J.-M. Roquejoffre}, Commun. Partial Differ. Equations 37, No. 10--12, 2029--2049 (2012; Zbl 1263.35142) Full Text: DOI arXiv
Cabré, Xavier; Coulon, Anne-Charline; Roquejoffre, Jean-Michel Propagation in Fisher-KPP type equations with fractional diffusion in periodic media. (English. Abridged French version) Zbl 1253.35198 C. R., Math., Acad. Sci. Paris 350, No. 19-20, 885-890 (2012). MSC: 35R11 35B40 35K57 PDFBibTeX XMLCite \textit{X. Cabré} et al., C. R., Math., Acad. Sci. Paris 350, No. 19--20, 885--890 (2012; Zbl 1253.35198) Full Text: DOI arXiv