Darcy's law in anisothermic porous medium.
Meirmanov, A.M. (2007)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Meirmanov, A.M. (2007)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Jan Kowalski (1994)
Banach Center Publications
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Wojciech Zajączkowski (1996)
Banach Center Publications
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We prove existence of weak solutions to nonlinear parabolic systems with p-Laplacians terms in the principal part. Next, in the case of diagonal systems an -estimate for weak solutions is shown under additional restrictive growth conditions. Finally, -estimates for weakly nondiagonal systems (where nondiagonal elements are absorbed by diagonal ones) are proved. The -estimates are obtained by the Di Benedetto methods.
Dang Khanh Hoi (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Boonpok, Chawalit (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Xingbao Wu (1995)
Annales Polonici Mathematici
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A nonlinear differential equation of the form (q(x)k(x)u')' = F(x,u,u') arising in models of infiltration of water is considered, together with the corresponding differential equation with a positive parameter λ, (q(x)k(x)u')' = λF(x,u,u'). The theorems about existence, uniqueness, boundedness of solution and its dependence on the parameter are established.
Wen-Guang Zhai (1995)
Acta Arithmetica
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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.
Hua, Jun, Moseley, James L. (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Lavrent'ev, M.M.jun., Spigler, R., Akhmetov, D.R. (2001)
Sibirskij Matematicheskij Zhurnal
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Robin Chapman (2000)
Acta Arithmetica
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We define a class of generalized Dedekind sums and prove a family of reciprocity laws for them. These sums and laws generalize those of Zagier [6]. The method is based on that of Solomon [5].
Vsevolod F. Lev, Pavel Y. Smeliansky (1995)
Acta Arithmetica
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What is the structure of a pair of finite integers sets A,B ⊂ ℤ with the small value of |A+B|? We answer this question for addition coefficient 3. The obtained theorem sharpens the corresponding results of G. Freiman.
Jose Barrionuevo, Robert M. Burton, Karma Dajani, Cor Kraaikamp (1996)
Acta Arithmetica
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Dae San Kim, In-Sok Lee (1996)
Acta Arithmetica
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Franz Hofbauer, Peter Raith (1998)
Fundamenta Mathematicae
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Transformations T:[0,1] → [0,1] with two monotonic pieces are considered. Under the assumption that T is topologically transitive and , it is proved that the invariant measures concentrated on periodic orbits are dense in the set of all invariant probability measures.
Mironova, Yu.N. (2001)
Sibirskij Matematicheskij Zhurnal
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