Uniqueness of solution of a singular heat equation.
Young, Eutiquio C. (1984)
International Journal of Mathematics and Mathematical Sciences
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Young, Eutiquio C. (1984)
International Journal of Mathematics and Mathematical Sciences
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Jaroš, Jaroslav, Takaŝi, Kusano, Yoshida, Norio (2006)
Journal of Inequalities and Applications [electronic only]
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Ivanka Tr. Angelova, Lubin G. Vulkov (2007)
Kragujevac Journal of Mathematics
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Josef Diblík, Miroslava Růžičková (2000)
Archivum Mathematicum
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Josef Diblík (1992)
Mathematica Bohemica
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In the paper the singular Cauchy-Nicoletti problem for the system ot two ordinary differential equations is considered. New sufficient conditions for solvability of this problem are proved. In the proofs the topological method is applied. Some comparisons with known results are also given in the paper.
Kapitonov, Boris V., Perla Menzala, G. (2003)
Portugaliae Mathematica. Nova Série
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Luis a. Fernández, Cecilia Pola (2001)
International Journal of Applied Mathematics and Computer Science
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We study the identification of the nonlinearities A,(→)b and c appearing in the quasilinear parabolic equation y_t − div(A(y)∇y + (→)b(y)) + c(y) = u inΩ × (0,T), assuming that the solution of an associated boundary value problem is known at the terminal time, y(x,T), over a (probably small) subset of Ω, for each source term u. Our work can be divided into two parts. Firstly, the uniqueness of A,(→)b and c is proved under appropriate assumptions. Secondly, we consider a finite-dimensional...