Zobrazeno 1 - 10
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pro vyhledávání: '"Santos, In��s"'
In this survey we summarize the current state of known orthogonality relations for the $q$ and $q^{-1}$-symmetric and dual subfamilies of the Askey--Wilson polynomials in the $q$-Askey scheme. These polynomials are the continuous dual $q$ and $q^{-1}
Externí odkaz:
http://arxiv.org/abs/2411.09040
In this work, we investigate the dynamics of a scalar field in the nonintegrable $\displaystyle \phi ^{4}$ model, restricted to the half-line. Here we consider singular solutions that interpolate the Dirichlet boundary condition $\phi(x=0,t)=H$ and t
Externí odkaz:
http://arxiv.org/abs/2411.04343
We consider the $k$-dispersion generalized Benjamin-Ono ($k$-DGBO) equations. For nonlinearities with power $k \geq 4$, we establish local and global well-posedness results for the associated initial value problem (IVP) in both the critical and subcr
Externí odkaz:
http://arxiv.org/abs/2410.17217
We study electromagnetic radiation reaction on a charged particle around a weakly magnetized Kerr black hole. We solve numerically the Teukolsky equation to find energy fluxes in electromagnetic radiation at the horizon and at spatial infinity. We al
Externí odkaz:
http://arxiv.org/abs/2409.17225
This paper is devoted to a complete characterization of the free boundary of a particular solution to the following spectral $k$-partition problem with measure and inclusion constraints: \[ \inf \left\{\sum_{i=1}^k \lambda_1(\omega_i)\; : \; \omega_i
Externí odkaz:
http://arxiv.org/abs/2409.14916
Autor:
Costas-Santos, Roberto S.
Publikováno v:
Mathematics 12, no. 14 (2024), 2767
In the present work, we investigate certain algebraic and differential properties of the orthogonal polynomials with respect to a discrete-continuous Sobolev-type inner product defined in terms of the Jacobi measure.
Comment: 11 pages, 2 figures
Comment: 11 pages, 2 figures
Externí odkaz:
http://arxiv.org/abs/2409.04502
We prove optimal regularity estimates for viscosity solutions to a class of fully nonlinear nonlocal equations with unbounded source terms. More precisely, depending on the integrability of the source term $f \in L^p(B_1)$, we establish that solution
Externí odkaz:
http://arxiv.org/abs/2409.03216
Publikováno v:
Rocky Mountain Journal of Mathematics 54, no. 4 (2024), 995-1004
We derive a useful result about the zeros of the $k$-polar polynomials on the unit circle; in particular we obtain a ring shaped region containing all the zeros of these polynomials. Some examples are presented.
Comment: 11 pages, 4 figures, 2 t
Comment: 11 pages, 4 figures, 2 t
Externí odkaz:
http://arxiv.org/abs/2409.00156
Autor:
Richter, H. J., Mihajlović, G., Chopdekar, R. V., Jung, W., Gibbons, J., Melendez, N. D., Grobis, M. K., Santos, T. S.
We report device level damping measurements using spin-torque driven ferromagnetic resonance on perpendicular magnetic random-access memory (MRAM) cells. It is shown that thermal agitation enhances the apparent damping for cells smaller than about 55
Externí odkaz:
http://arxiv.org/abs/2407.20965
We study radiation from charged particles in circular motion around a Schwarzschild black hole immersed in an asymptotically uniform magnetic field. In curved space, the radiation reaction force is described by the DeWitt-Brehme equation, which inclu
Externí odkaz:
http://arxiv.org/abs/2404.02195