Lq-theory of a singular “winding” integral operator arising from fluid dynamics
نویسندگان
چکیده
منابع مشابه
Lq-THEORY OF A SINGULAR “WINDING” INTEGRAL OPERATOR ARISING FROM FLUID DYNAMICS
We analyze in classical L(R)-spaces, n = 2 or n = 3, 1 < q < ∞, a singular integral operator arising from the linearization of a hydrodynamical problem with a rotating obstacle. The corresponding system of partial differential equations of second order involves an angular derivative which is not subordinate to the Laplacian. The main tools are Littlewood– Paley theory and a decomposition of the...
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Eigenmode solutions are very important in stability analysis of dynamical systems. The set of eigenvalues of a non-self-adjoint differential operator originated from the linearization of some Cauchy problem is investigated. It is shown that the eigenvalues are purely imaginary, and that they are related to the eigenvalues of Heun’s differential equation. These two results are used to derive the...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2004
ISSN: 0030-8730
DOI: 10.2140/pjm.2004.215.297