On the uniqueness of solutions to the weighted initial value problem for higher-order evolution singular functional-differential equations.
Sokhadze, Z. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Sokhadze, Z. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Půža, B., Rabbimov, A. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Kiguradze, I., Sokhadze, Z. (1995)
Memoirs on Differential Equations and Mathematical Physics
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Dazhao Chen (2014)
Colloquium Mathematicae
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We establish weighted sharp maximal function inequalities for a linear operator associated to a singular integral operator with non-smooth kernel. As an application, we obtain the boundedness of a commutator on weighted Lebesgue spaces.
Liliana De Rosa, Carlos Segovia (1990)
Colloquium Mathematicae
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Mukhigulashvili, S. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Xi Chen (2010)
Bulletin of the Polish Academy of Sciences. Mathematics
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An improved multiple Cotlar inequality is obtained. From this result, weighted norm inequalities for the maximal operator of a multilinear singular integral including weak and strong estimates are deduced under the multiple weights constructed recently.
Azbelev, N.V., Rakhmatullina, L.F. (1996)
Memoirs on Differential Equations and Mathematical Physics
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B. E. Wynne, T. V. Narayana (1981)
Cahiers du Bureau universitaire de recherche opérationnelle Série Recherche
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Alexei Yu. Karlovich (2011)
Banach Center Publications
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In 1968, Gohberg and Krupnik found a Fredholm criterion for singular integral operators of the form aP + bQ, where a,b are piecewise continuous functions and P,Q are complementary projections associated to the Cauchy singular integral operator, acting on Lebesgue spaces over Lyapunov curves. We extend this result to the case of Nakano spaces (also known as variable Lebesgue spaces) with certain weights having finite sets of discontinuities on arbitrary Carleson curves.
G. Greaves (1985)
Banach Center Publications
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Bichegkuev, M.S. (1999)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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Geraldo Soares De Souza (1990)
Colloquium Mathematicae
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Giovanni Leoni (2014)
ESAIM: Control, Optimisation and Calculus of Variations
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In this note we prove compactness for the Cahn–Hilliard functional without assuming coercivity of the multi-well potential.
Peter Hess (1971)
Mathematische Zeitschrift
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Rabtsevich, V.A. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Zhou, W.S., Cai, S.F. (2006)
Lobachevskii Journal of Mathematics
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Rabtsevich, V.A. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Masatomo Takahashi (2007)
Colloquium Mathematicae
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A complete solution of an implicit second order ordinary differential equation is defined by an immersive two-parameter family of geometric solutions on the equation hypersurface. We show that a completely integrable equation is either of Clairaut type or of first order type. Moreover, we define a complete singular solution, an immersive one-parameter family of singular solutions on the contact singular set. We give conditions for existence of a complete solution and a complete singular...