Parabolic, hyperbolic and elliptic Poincaré series
Özlem Imamoḡlu, Cormac O'Sullivan (2009)
Acta Arithmetica
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Displaying similar documents to “Reducing real almost-linear second-order partial differential operators in two independent variables to a canonical form”
Parabolic, hyperbolic and elliptic Poincaré series
On coupling of a first order hyperbolic system with an elliptic equation.
Bochorishvili, R., Jaiani, D. (1999)
Bulletin of TICMI
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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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Large time behavior in a quasilinear parabolic-parabolic-elliptic attraction-repulsion chemotaxis system
Yutaro Chiyo (2023)
Archivum Mathematicum
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This paper deals with a quasilinear parabolic-parabolic-elliptic attraction-repulsion chemotaxis system. Boundedness, stabilization and blow-up in this system of the fully parabolic and parabolic-elliptic-elliptic versions have already been proved. The purpose of this paper is to derive boundedness and stabilization in the parabolic-parabolic-elliptic version.
On integro-differential equations of parabolic and elliptic type
H. Ugowski (1970)
Annales Polonici Mathematici
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The Principles of Elliptic and Hyperbolic Analysis
Alexander Macfarlane
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Some common asymptotic properties of semilinear parabolic, hyperbolic and elliptic equations
Poláčik, Peter
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Quasilinear Elliptic-Parabolic Differentail Equations.
Hans W. Alt, Stephan Luckhaus (1983)
Mathematische Zeitschrift
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How parabolic free boundaries approximate hyperbolic fronts.
Gilding, Brian H., Natalini, Roberto, Tesei, Alberto (1997)
Memoirs on Differential Equations and Mathematical Physics
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A CAGD method for elliptic cross sections of circular parabolic quadrics.
Cvetićanin, Dragan, Obradović, Ratko (1998)
Novi Sad Journal of Mathematics
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On the parabolic-elliptic limit of the doubly parabolic Keller-Segel system modelling chemotaxis
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.