Fractional discrete Laplacian versus discretized fractional Laplacian
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J. L. Varona | L. Roncal | P. R. Stinga | J. Torrea | P. Stinga | L. Roncal | 'Oscar Ciaurri | 'O. Ciaurri | J. L. Torrea | J. Varona
[1] F. Olver. Asymptotics and Special Functions , 1974 .
[2] Pablo Raúl Stinga,et al. Fractional powers of second order partial differential operators: extension problem and regularity theory , 2010 .
[3] E. Stein,et al. Introduction to Fourier Analysis on Euclidean Spaces. , 1971 .
[4] Jacques Giacomoni,et al. Fractional elliptic equations with critical exponential nonlinearity , 2016 .
[5] Luis Silvestre,et al. Regularity of the obstacle problem for a fractional power of the laplace operator , 2007 .
[6] L. Roncal,et al. Transference of Fractional Laplacian Regularity , 2014 .
[7] J. Cooper. SINGULAR INTEGRALS AND DIFFERENTIABILITY PROPERTIES OF FUNCTIONS , 1973 .
[8] Adam M. Oberman,et al. Numerical Methods for the Fractional Laplacian: A Finite Difference-Quadrature Approach , 2013, SIAM J. Numer. Anal..
[9] L. Roncal,et al. Fractional Laplacian on the torus , 2012, 1209.6104.
[10] Pedro J. Miana,et al. Extension problem and fractional operators: semigroups and wave equations , 2012, 1207.7203.
[11] L. Caffarelli,et al. An Extension Problem Related to the Fractional Laplacian , 2006, math/0608640.
[12] A. Gray. Bessel Functions , 1899, Nature.
[13] R. Getoor,et al. First passage times for symmetric stable processes in space , 1961 .
[14] Yu. A. Brychkov,et al. Integrals and series , 1992 .
[15] P. R. Stinga,et al. Fractional elliptic equations, Caccioppoli estimates and regularity , 2014, 1409.7721.
[16] E. Stein,et al. Discrete analogues in harmonic analysis II: Fractional integration , 2000 .
[17] N. S. Landkof. Foundations of Modern Potential Theory , 1972 .
[18] M Kardar,et al. Fractional Laplacian in bounded domains. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.
[19] P. R. Stinga,et al. Extension Problem and Harnack's Inequality for Some Fractional Operators , 2009, 0910.2569.
[20] F'elix del Teso,et al. Finite difference method for a fractional porous medium equation , 2013, 1301.4349.
[21] Ricardo H. Nochetto,et al. A PDE Approach to Fractional Diffusion in General Domains: A Priori Error Analysis , 2013, Found. Comput. Math..
[22] A. Karlsson,et al. Zeta functions, heat kernels, and spectral asymptotics on degenerating families of discrete tori , 2008, Nagoya Mathematical Journal.
[23] Joseph E. Pasciak,et al. Numerical approximation of fractional powers of elliptic operators , 2013, Math. Comput..
[24] J. L. Varona,et al. Harmonic analysis associated with a discrete Laplacian , 2014, 1401.2091.
[25] A. Erdélyi,et al. The asymptotic expansion of a ratio of gamma functions. , 1951 .
[26] Piotr Biler,et al. Barenblatt profiles for a nonlocal porous medium equation , 2010, 1001.0910.
[27] Heat Kernel Expansions on the Integers , 2002, math/0206089.
[28] L. Milne‐Thomson. A Treatise on the Theory of Bessel Functions , 1945, Nature.