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Displaying 141 – 160 of 919

Boundary value problem with integral conditions for a linear third-order equation.

Denche, M., Memou, A. (2003)

Journal of Applied Mathematics

Boundary value problems for quasi-linear elliptic second order equations in unbounded cone-like domains

Mikhail Borsuk, Damian Wiśniewski (2012)

Open Mathematics

We study the behaviour of weak solutions (as well as their gradients) of boundary value problems for quasi-linear elliptic divergence equations in domains extending to infinity along a cone.

Boundary value problems for second order elliptic equations in unbounded domains and Saint-Venant's principle

O. A. Oleinik, G. A. Yosifian (1977)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Boundary value problems for some classes of degenerating second order partial differential equations.

Usanetashvili, Mikheil (1997)

Memoirs on Differential Equations and Mathematical Physics

Boundary Value Problems with Bounded Nonlinearity and General Null-Space of the Linear part.

Svatopluk Fucik, Miroslav Krbec (1977)

Mathematische Zeitschrift

Bounded solutions of nonlinear parabolic equations.

Mavinga, Nsoki, Nkashama, Mubenga N. (2010)

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

Bounded weak solutions to nonlinear elliptic equations.

El Hachimi, Abderrahmane, Igbida, Jaoud (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Boundedness of global solutions for nonlinear parabolic equations involving gradient blow-up phenomena

José M. Arrieta, Anibal Rodriguez-Bernal, Philippe Souplet (2004)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

We consider a one-dimensional semilinear parabolic equation with a gradient nonlinearity. We provide a complete classification of large time behavior of the classical solutions $u$ : either the space derivative $u_{x}$ blows up in finite time (with $u$ itself remaining bounded), or $u$ is global and converges in $C^{1}$ norm to the unique steady state. The main difficulty is to prove $C^{1}$ boundedness of all global solutions. To do so, we explicitly compute a nontrivial Lyapunov functional by carrying out the method of...

Boundedness of solutions to parabolic-elliptic chemotaxis-growth systems with signal-dependent sensitivity

Kentarou Fujie, Tomomi Yokota (2014)

Mathematica Bohemica

This paper deals with parabolic-elliptic chemotaxis systems with the sensitivity function $χ (v)$ and the growth term $f (u)$ under homogeneous Neumann boundary conditions in a smooth bounded domain. Here it is assumed that $0 < χ (v) \leq χ_{0} / v^{k}$ $(k \geq 1 ...$

Boundedness of the solution of the third problem for the Laplace equation

Dagmar Medková (2005) Czechoslovak Mathematical Journal

A necessary and sufficient condition for the boundedness of a solution of the third problem for the Laplace equation is given. As an application a similar result is given for the third problem for the Poisson equation on domains with Lipschitz boundary.

Bounds for elliptic operators in weighted spaces.

Caso, Loredana (2006) Journal of Inequalities and Applications [electronic only]

Bounds for KdV and the 1-d cubic NLS equation in rough function spaces

Herbert Koch (2011/2012) Séminaire Laurent Schwartz — EDP et applications

We consider the cubic Nonlinear Schrödinger Equation (NLS) and the Korteweg-de Vries equation in one space dimension. We prove that the solutions of NLS satisfy a-priori local in time

H^{s}

bounds in terms of the

H^{s}

size of the initial data for

s \geq - \frac{1}{4}

(joint work with D. Tataru, [15, 14]) , and the solutions to KdV satisfy global a priori estimate in

H^{- 1}

(joint work with T. Buckmaster [2]).

Capacitary estimates of positive solutions of semilinear elliptic equations with absorbtion

Moshe Marcus, Laurent Véron (2004)

Journal of the European Mathematical Society

Let $Ω$ be a bounded domain of class $C^{2}$ in $ℝ$ N and let $K$ be a compact subset of $\partial Ω$ . Assume that $q \geq (N + 1) / (N - 1)$ and denote by $U_{K}$ the maximal solution of $- Δ u + u^{q} = 0$ in $Ω$ which vanishes on $\partial Ω ∖ K$ . We obtain sharp upper and lower estimates for $U_{K}$ in terms of the Bessel capacity $C_{2 / q, q^{'}}$ and prove that $U_{K}$ is $σ$ -moderate. In addition we describe the precise asymptotic behavior of $U_{K}$ at points $σ \in K$ , which depends on the “density” of $K$ at $σ$ , measured in terms of the capacity $C_{2 / q, q^{'}}$ .

Currently displaying 141 – 160 of 919

Previous Page 8 Next

Displaying 141 – 160 of 919

Boundary value problem with integral conditions for a linear third-order equation.

Boundary value problems for quasi-linear elliptic second order equations in unbounded cone-like domains

Boundary value problems for second order elliptic equations in unbounded domains and Saint-Venant's principle

Boundary value problems for some classes of degenerating second order partial differential equations.

Boundary Value Problems with Bounded Nonlinearity and General Null-Space of the Linear part.

Bounded solutions of nonlinear parabolic equations.

Bounded weak solutions to nonlinear elliptic equations.

Boundedness of global solutions for nonlinear parabolic equations involving gradient blow-up phenomena

Boundedness of solutions to parabolic-elliptic chemotaxis-growth systems with signal-dependent sensitivity

Boundedness of the solution of the third problem for the Laplace equation

Bounds for elliptic operators in weighted spaces.

Bounds for KdV and the 1-d cubic NLS equation in rough function spaces

Capacitary estimates of positive solutions of semilinear elliptic equations with absorbtion

Carleman estimates for second-order hyperbolic equations.

Cauchy-Neumann problem for a kind of nonlinear parabolic operators.

Champs de vecteurs quasi-lipschitziens et mécanique des fluides

Classical Solutions of Nonlinear Schrödinger Equations in Higher Dimensions.

Classical solvability in dimension two of the second boundary-value problem associated with the Monge-Ampère operator

Clustered solutions around harmonic centers to a coupled elliptic system

Coercive inequalities on weighted Sobolev spaces

Currently displaying 141 – 160 of 919