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APPML
2007
104views more  APPML 2007»
13 years 4 months ago
Periodic solutions for nonlinear equations with mean curvature-like operators
Abstract. We give an existence result for a periodic boundary value problem involving mean curvaturelike operators in the scalar case. Following [3], we use an approach based on th...
Pierluigi Benevieri, João Marcos do Ó...
SIAMCO
2011
12 years 11 months ago
Nonlinear Black-Scholes Equations in Finance: Associated Control Problems and Properties of Solutions
We study properties of solutions to fully nonlinear versions of the standard Black– Scholes partial differential equation. These equations have been introduced in financial mat...
Rüdiger Frey, Ulrike Polte
SIAMCO
2010
169views more  SIAMCO 2010»
12 years 11 months ago
Shape Derivative of Drag Functional
Abstract. In the paper compressible, stationary Navier-Stokes (N-S) equations are considered. The model is well-posed, there exist weak solutions in bounded domains, subject to inh...
Pavel I. Plotnikov, Jan Sokolowski
APPML
2004
102views more  APPML 2004»
13 years 4 months ago
Twin n-point boundary value problems
Abstract. We establish the existence of positive solutions to twin time-scale problems given by the dynamic equation -u (t) = a(t)f(u(t)), t (t1, tn) T with boundary conditions u...
D. R. Anderson
MOC
1998
126views more  MOC 1998»
13 years 4 months ago
Implicit-explicit multistep finite element methods for nonlinear parabolic problems
We approximate the solution of initial boundary value problems for nonlinear parabolic equations. In space we discretize by finite element methods. The discretization in time is b...
Georgios Akrivis, Michel Crouzeix, Charalambos Mak...