A probabilistic approach to the boundedness of singular integral operators
Richard F. Bass (1990)
Séminaire de probabilités de Strasbourg
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Richard F. Bass (1990)
Séminaire de probabilités de Strasbourg
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Agnieszka Świerczewska (2006)
Applications of Mathematics
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In the note we are concerned with higher regularity and uniqueness of solutions to the stationary problem arising from the large eddy simulation of turbulent flows. The system of equations contains a nonlocal nonlinear term, which prevents straightforward application of a difference quotients method. The existence of weak solutions was shown in A. Świerczewska: Large eddy simulation. Existence of stationary solutions to the dynamical model, ZAMM, Z. Angew. Math. Mech. 85 (2005), 593–604...
Hoai-Minh Nguyen, Michael S. Vogelius (2009)
Annales de l'I.H.P. Analyse non linéaire
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Harjulehto, Petteri, Kinnunen, Juha, Lukkari, Teemu (2007)
Boundary Value Problems [electronic only]
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Xue, Ruying (2005)
International Journal of Mathematics and Mathematical Sciences
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Arina A. Arkhipova (2003)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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It is proved that a function can be estimated in the norm with a higher degree of summability if it satisfies some integral relations similar to the reverse Hölder inequalities (quasireverse Hölder inequalities). As an example, we apply this result to derive an a priori estimate of the Hölder norm for a solution of strongly nonlinear elliptic system.