Topological characteristic of fully nonlinear parabolic boundary value problems
نویسندگان
چکیده
منابع مشابه
Fully Nonlinear Boundary Value Problems with Impulses
An impulsive boundary value problem with nonlinear boundary conditions for a second order ordinary differential equation is studied. In particular, sufficient conditions are provided so that a compression expansion cone theoretic fixed point theorem can be applied to imply the existence of positive solutions. The nonlinear forcing term is assumed to satisfy usual sublinear or superlinear growth...
متن کاملFully Nonlinear Boundary Value Problems with Impulse
An impulsive boundary value problem with nonlinear boundary conditions for a second order ordinary differential equation is studied. In particular, sufficient conditions are provided so that a compression expansion cone theoretic fixed point theorem can be applied to imply the existence of positive solutions. The nonlinear forcing term is assumed to satisfy usual sublinear or superlinear growth...
متن کاملA Stochastic Approximation for Fully Nonlinear Free Boundary Parabolic Problems
When the option pricing problem is of several dimensions, for example, basket options, deterministic methods such as finite difference are almost intractable; because the complexity increases exponentially with the dimension and one almost inevitably needs to use Monte Carlo simulations. Moreover, many problems in finance, for example, pricing in incomplete markets and portfolio optimization, l...
متن کاملBoundary Value Problems for some Fully Nonlinear Elliptic Equations
Let (M, g) be a compact Riemannian manifold of dimension n ≥ 3 with boundary ∂M . We denote the Ricci curvature, scalar curvature, mean curvature, and the second fundamental form by Ric, R , h, and Lαβ , respectively. The Yamabe problem for manifolds with boundary is to find a conformal metric ĝ = eg such that the scalar curvature is constant and the mean curvature is zero. The boundary is call...
متن کاملDegenerate Parabolic Initial-Boundary Value Problems*
in Hilbert space and their realizations in function spaces as initial-boundary value problems for partial differential equations which may contain degenerate or singular coefficients. The Cauchy problem consists of solving (1.1) subject to the initial condition Jdu(0) = h. We are concerned with the case where the solution is given by an analytic semigroup; it is this sense in which the Canchy p...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Topological Methods in Nonlinear Analysis
سال: 2004
ISSN: 1230-3429
DOI: 10.12775/tmna.2004.001