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On the eigenfunctions of the complex Ornstein-Uhlenbeck operators
eigenfunctions complex Ornstein-Uhlenbeck operators
2016/1/25
Starting from the 1-dimensional complex-valued Ornstein-Uhlenbeck process, we present two natural ways to imply the associated eigenfunctions of the 2-dimensional normal Ornstein-Uhlenbeck operators i...
Boundary Harnack principle and gradient estimates for fractional Laplacian perturbed by non-local operators
Harmonic function boundary Harnack principle gradient estimate
2016/1/20
Boundary Harnack principle and gradient estimates for fractional Laplacian perturbed by non-local operators.
Strong maximum principle for radiative tranfer type operators
Strong maximum principle tranfer type operators
2011/1/21
The strong maximum principle ((SMP) in short) for subsolutions of the radiative transfer type equations is shown in this paper. We treat a general class of integro-differential equations, defined in t...
Reduction operators of variable coefficient semilinear diffusion equations with an exponential source
Exactly Solvable and Integrable Systems (nlin.SI) Mathematical Physics (math-ph)
2010/11/10
Reduction operators (called also nonclassical or $Q$-conditional symmetries) of variable coefficient semilinear reaction-diffusion equations with exponential source $f(x)u_t=(g(x)u_x)_x+h(x)e^{mu}$ ar...
Recursion operators for KP, mKP and Harry-Dym Hierarchies
Exactly Solvable and Integrable Systems(nlin.SI) Mathematical Physics(math-ph)
2010/11/10
In this paper, we give a unified construction of the recursion operators from the Lax representation for three integrable hierarchies: Kadomtsev-Petviashvili (KP), modified Kadomtsev-Petviashvili (mKP...
Classification of General Sequences by Frame-Related Operators
analysis operator synthesis operator frame op-erator Gram matrix Bessel sequence
2010/12/1
This note is a survey and collection of results, as well as present-ing some original research. For Bessel sequences and frames, the analy-sis, synthesis and frame operators as well as the Gram matrix...
$\lambda$-Central BMO Estimates for Commutators of $N$-Dimensional Hardy Operators
Commutator $N$-dimensional Hardy operator $lambda$-central BMO space Central Morrey space
2010/1/25
This paper gives the -central BMO estimates for commutators of -dimensional Hardy operators on central Morrey spaces.