Zobrazeno 1 - 10
of 77
pro vyhledávání: '"Restrepo, Joel E."'
We study existence, uniqueness, norm estimates and asymptotic time behaviour (in some cases can be claimed to be sharp) for the solution of a general evolutionary integral (differential) equation of scalar type on a locally compact separable unimodul
Externí odkaz:
http://arxiv.org/abs/2409.18141
Autor:
Restrepo, Joel E.
We show the explicit solution operator of an abstract Cauchy problem involving a time-variable coefficient and a fractional power of an almost sectorial operator. Also, by using the representation of the solution operator, we solve the inverse abstra
Externí odkaz:
http://arxiv.org/abs/2408.00240
Publikováno v:
Asymptotic Analysis, 2024
We first study the existence, uniqueness and well-posedness of a general class of integro-differential diffusion equation on $L^p(\mathbb{G})$ $(1
Externí odkaz:
http://arxiv.org/abs/2402.14125
We derive asymptotic estimates for the growth of the norm of the deformed Hankel transform on the deformed Hankel--Lipschitz space defined via a generalised modulus of continuity. The established results are similar in nature to the well-known Titchm
Externí odkaz:
http://arxiv.org/abs/2308.01870
We prove that the noncommutative Lorentz norm (associated to a semifinite von Neumann algebra) of a propagator of the form $\varphi(|\mathscr{L}|)$ can be estimated if the Borel function $\varphi$ is bounded by a positive monotonically decreasing van
Externí odkaz:
http://arxiv.org/abs/2302.00721
We study heat and wave type equations on a separable Hilbert space $\mathcal{H}$ by considering non-local operators in time with any positive densely defined linear operator with discrete spectrum. We show the explicit representation of the solution
Externí odkaz:
http://arxiv.org/abs/2301.12256
We prove existence, uniqueness and give the analytical solution of heat and wave type equations on a compact Lie group $G$ by using a non-local (in time) differential operator and a positive left invariant operator (maybe unbounded) acting on the gro
Externí odkaz:
http://arxiv.org/abs/2210.05608
Publikováno v:
Differential and integral equations, 35(9-10), (2022), 581--610
Linear differential equations with variable coefficients and Prabhakar-type operators featuring Mittag-Leffler kernels are solved. In each case, the unique solution is constructed explicitly as a convergent infinite series involving compositions of P
Externí odkaz:
http://arxiv.org/abs/2205.13062
Sufficient and necessary results have been proven on Lipschitz type integral conditions and bounds of its Fourier transform for an $L^2$ function, in the setting of Riemannian symmetric spaces of rank $1$ whose growth depends on a $k$th-order modulus
Externí odkaz:
http://arxiv.org/abs/2109.11210