Sufficient conditions of local solvability for partial differential operators on spaces of Colombeau type.
Garetto, Claudia (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Displaying similar documents to “-boundedness and -compactness of a class of Fourier integral operators.”
Sufficient conditions of local solvability for partial differential operators on spaces of Colombeau type.
Pseudodifferential operators with generalized symbols and regularity theory.
Garetto, Claudia, Gramchev, Todor, Oberguggenberger, Michael (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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A class of generalized integral operators.
Bekkara, Samir, Messirdi, Bekkai, Senoussaoui, Abderrahmane (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Power series solution for the modified KdV equation.
Nguyen, Tu (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Denseness of domains of differential operators in Sobolev spaces.
Yakubov, Sasun (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Low regularity well-posedness for the one-dimensional Dirac-Klein-Gordon system.
Pecher, Hartmut (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Cauchy problem for derivors in finite dimension.
Couchouron, Jean-François, Dellacherie, Claude, Grandcolas, Michel (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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On the solvability of a fourth order operator differential equations.
Nouar, Ahmed (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Low regularity solutions for Dirac-Klein-Gordon equations in one space dimension.
Fang, Yung-fu (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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On some shift invariant integral operators, univariate case
George A. Anastassiou, Heinz H. Gonska (1995)
Annales Polonici Mathematici
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In recent papers the authors studied global smoothness preservation by certain univariate and multivariate linear operators over compact domains. Here the domain is ℝ. A very general positive linear integral type operator is introduced through a convolution-like iteration of another general positive linear operator with a scaling type function. For it sufficient conditions are given for shift invariance, preservation of global smoothness, convergence to the unit with rates, shape preserving...
Existence results for a class of semi-linear evolution equations.
Hernández M., Eduardo (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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On the ellipticity and solvability of an abstract second-order differential equation.
El Haial, Abdelillah, Labbas, Rabah (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Diophantine conditions in global well-posedness for coupled KdV-type systems.
Oh, Tadahiro (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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An Lp − Lq - Version of Morgan's Theorem Associated with Partial Differential Operators
Kamoun, Lotfi (2005)
Fractional Calculus and Applied Analysis
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2000 Mathematics Subject Classification: 42B10, 43A32. In this paper we take the strip KL = [0, +∞[×[−Lπ, Lπ], where L is a positive integer. We consider, for a nonnegative real number α, two partial differential operators D and Dα on ]0, +∞[×] − Lπ, Lπ[. We associate a generalized Fourier transform Fα to the operators D and Dα. For this transform Fα, we establish an Lp − Lq − version of the Morgan's theorem under the assumption 1 ≤ p, q ≤ +∞.