Regularizing a nonlinear integroparabolic Fokker--Planck equation with space-periodic solutions: existence of strong solutions.
Lavrent'ev, M.M.jun., Spigler, R., Akhmetov, D.R. (2001)
Sibirskij Matematicheskij Zhurnal
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Lavrent'ev, M.M.jun., Spigler, R., Akhmetov, D.R. (2001)
Sibirskij Matematicheskij Zhurnal
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Svatoslav Staněk (1993)
Annales Polonici Mathematici
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A differential equation of the form (q(t)k(u)u')' = F(t,u)u' is considered and solutions u with u(0) = 0 are studied on the halfline [0,∞). Theorems about the existence, uniqueness, boundedness and dependence of solutions on a parameter are given.
Yakov Sinai (1998)
Fundamenta Mathematicae
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We consider a parabolic perturbation of the Hamilton-Jacobi equation where the potential is periodic in space and time. We show that any solution converges to a limit not depending on initial conditions.
Mariusz Urbański (1996)
Fundamenta Mathematicae
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The notion of a parabolic Cantor set is introduced allowing in the definition of hyperbolic Cantor sets some fixed points to have derivatives of modulus one. Such difference in the assumptions is reflected in geometric properties of these Cantor sets. It turns out that if the Hausdorff dimension of this set is denoted by h, then its h-dimensional Hausdorff measure vanishes but the h-dimensional packing measure is positive and finite. This latter measure can also be dynamically characterized...
Fei Xu, Jianqiang Zhao (1996)
Acta Arithmetica
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Harald Niederreiter, Chaoping Xing (1998)
Acta Arithmetica
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Harald Niederreiter, Chaoping Xing (1996)
Acta Arithmetica
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E. V. Flynn (1994)
Acta Arithmetica
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Ludomir Newelski (1995)
Fundamenta Mathematicae
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Assume T is superstable and small. Using the multiplicity rank ℳ we find locally modular types in the same manner as U-rank considerations yield regular types. We define local versions of ℳ-rank, which also yield meager types.
Daciberg Gonçalves, Jerzy Jezierski (1997)
Fundamenta Mathematicae
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We generalize the Lefschetz coincidence theorem to non-oriented manifolds. We use (co-) homology groups with local coefficients. This generalization requires the assumption that one of the considered maps is orientation true.