Some uniqueness theorems for solutions of parabolic and elliptic partial differential equations in unbounded regions
P. Besala, H. Ugowski (1969)
Colloquium Mathematicae
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P. Besala, H. Ugowski (1969)
Colloquium Mathematicae
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H. Ugowski (1970)
Annales Polonici Mathematici
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Hans W. Alt, Stephan Luckhaus (1983)
Mathematische Zeitschrift
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Boucherif, Abdelkader (2011)
Advances in Difference Equations [electronic only]
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Piotr Biler, Lorenzo Brandolese (2009)
Studia Mathematica
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We establish new results on convergence, in strong topologies, of solutions of the parabolic-parabolic Keller-Segel system in the plane to the corresponding solutions of the parabolic-elliptic model, as a physical parameter goes to zero. Our main tools are suitable space-time estimates, implying the global existence of slowly decaying (in general, nonintegrable) solutions for these models, under a natural smallness assumption.
Masashi Misawa (1993)
Mathematische Zeitschrift
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Cvetićanin, Dragan, Obradović, Ratko (1998)
Novi Sad Journal of Mathematics
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P. Besala (1963)
Colloquium Mathematicae
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Stanisław Brzychczy (1996)
Annales Polonici Mathematici
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We consider a nonlinear differential-functional parabolic boundary initial value problem (1) ⎧A z + f(x,z(t,x),z(t,·)) - ∂z/∂t = 0 for t > 0, x ∈ G, ⎨z(t,x) = h(x) for t > 0, x ∈ ∂G, ⎩z(0,x) = φ₀(x) for x ∈ G, and the associated elliptic boundary value problem with Dirichlet condition (2) ⎧Az + f(x,z(x),z(·)) = 0 for x ∈ G, ⎨z(x) = h(x) for x ∈ ∂G ⎩ where , G is an open and bounded domain with (0 < α ≤ 1) boundary, the operator Az := ∑j,k=1m ajk(x) (∂²z/(∂xj...
Nikolaos S. Papageorgiou (1992)
Publications de l'Institut Mathématique
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D. G. Aronson, P. Besala (1967)
Colloquium Mathematicae
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Uraltseva, N. N.
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Alexander Zenisek (1987)
Numerische Mathematik
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Sarmila Sahoo (2015)
Curved and Layered Structures
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In this paper free vibration behavior of laminated composite stiffened elliptic parabolic shell has been analyzed in terms of natural frequency and mode shape. Finite element method has been applied using an eight-noded curved quadratic isoparametric element for shell with a three noded curved beam element for stiffener. Cross and angle ply shells with different edge conditions have been studied varying the size and position of the cutouts to arrive at a set of inferences of practical...