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Eigenvalues of inequalities of reaction-diffusion type and destabilizing effect of unilateral conditions

Pavel Drábek, Milan Kučera (1986)

Czechoslovak Mathematical Journal

Einige Anwendungen der mehrdimensionalen approximationstheorie zur Lösungseinschließung bei Randwertaufgaben

Collatz, Lothar (1986)

Equadiff 6

Einschliessungsaussagen bei Systemen semilinearer parabolischer Differentialgleichungen

Wilhelm Heinrichs (1991)

Applications of Mathematics

Für die Lösungen seminlinearer parabolischer Differentialgleichungen werden Einschliessungsaussagen hergeleitet. Hierbei werden Aussagen zur Stabilität von Lösungen ermittelt. Die Resultate werden am Beispiel der Fitzhugh-Nagumo Gleichungen diskutiert.

Energy error estimates for a linear scheme to approximate nonlinear parabolic problems

E. Magenes, R. H. Nochetto, C. Verdi (1987)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Équations d'évolution dégénérées

Michel Langlais (1980)

Journées équations aux dérivées partielles

Error estimates for barycentric finite volumes combined with nonconforming finite elements applied to nonlinear convection-diffusion problems

Vít Dolejší, Miloslav Feistauer, Jiří Felcman, Alice Kliková (2002)

Applications of Mathematics

The subject of the paper is the derivation of error estimates for the combined finite volume-finite element method used for the numerical solution of nonstationary nonlinear convection-diffusion problems. Here we analyze the combination of barycentric finite volumes associated with sides of triangulation with the piecewise linear nonconforming Crouzeix-Raviart finite elements. Under some assumptions on the regularity of the exact solution, the $L^{2} (L^{2})$ and $L^{2} (H^{1})$ error estimates are established. At the end...

Error estimates for finite element methods for semilinear parabolic problems with nonsmooth data

Thomée, Vidar (1986)

Equadiff 6

Error Estimates for Semidiscrete Galerkin Type Approximations for Semilinear Evolution Equations with Nonsmooth Initial Data.

Hans-Peter Helfrich (1987)

Numerische Mathematik

Error Estimates of a Galerkin Method for Some Nonlinear Sobolev Equations in one Space Dimension.

Mitsuhiro T. Nakao (1985)

Numerische Mathematik

Estimates of solutions of impulsive parabolic equations and applications to the population dynamics.

Drumi Bainov, Emil Minchev (1996)

Publicacions Matemàtiques

A theorem on estimates of solutions of impulsive parabolic equations by means of solutions of impulsive ordinary differential equations is proved. An application to the population dynamics is given.

Estimations C1 pour des problèmes paraboliques semi-linéaires

A. Haraux, M. Kirane (1983)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Eventual monotonicity and convergence to travelling fronts for the solutions of parabolic equations in cylinders

Jean-Michel Roquejoffre (1997)

Annales de l'I.H.P. Analyse non linéaire

Évolution d'une interface par capillarité et diffusion de volume. Estimations a priori et résultats d'existence

Jean Duchon, Raoul Robert (1984)

Journées équations aux dérivées partielles

Exact boundary controllability for higher order nonlinear Schrödinger equations with constant coefficients.

Ceballos V., Juan Carlos, Pavez F., Ricardo, Villagrán, Octavio Paulo Vera (2005)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Exceptional sets for solutions to quasilinear parabolic equations in weighted Sobolev spaces.

Alborova, M.S. (2000)

Vladikavkazskiĭ Matematicheskiĭ Zhurnal

Existence and nonexistence of solutions for a model of gravitational interaction of particles, II

Piotr Biler, Danielle Hilhorst, Tadeusz Nadzieja (1994)

Colloquium Mathematicae

We study the existence and nonexistence in the large of radial solutions to a parabolic-elliptic system with natural (no-flux) boundary conditions describing the gravitational interaction of particles. The blow-up of solutions defined in the n-dimensional ball with large initial data is connected with the nonexistence of radial stationary solutions with a large mass.

Existence and nonexistence of solutions for a model of gravitational interaction of particles, III

Piotr Biler (1995)

Colloquium Mathematicae

Existence and nonexistence of solutions for a model of gravitational interaction of particles, I

Piotr Biler, Tadeusz Nadzieja (1993)

Colloquium Mathematicae

We study the existence of stationary and evolution solutions to a parabolic-elliptic system with natural (no-flux) boundary conditions describing the gravitational interaction of particles.

Existence and nonexistence results for a class of linear and semilinear parabolic equations related to some Caffarelli-Kohn-Nirenberg inequalities

Boumediene Abdellaoui, Eduardo Colorado, Ireneo Peral (2004)

Journal of the European Mathematical Society

In this work we study the problem $u_{t} {- div (| x |}^{- 2 γ} \nabla u) = λ \frac{u^{α}}{{| x |}^{2 (γ + 1)}} + f$ in $Ω \times (0, T)$ , $u \geq 0$ in $Ω \times (0, T)$ , $u = 0$ on $\partial Ω \times (0, T)$ , $u (x, 0) = u_{0} (x)$ in $Ω$ , $Ω \subset ℝ^{N}$ $(N \geq 2)$ is a bounded regular domain such that $0 \in Ω$ , $λ > 0$ , $α > 0$ , $- \infty < γ < (N - 2) / 2$ , $f$ and $u_{0}$ are positive functions such...

Existence and non-existence results for a nonlinear heat equation.

Celik, Canan (2007)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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