Results 151 to 160 of about 238 (179)
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The Limitation Theorem of g-Supersolution for BSDEs
Advanced Materials Research, 2013The author discusses the limitation theorem of g - supersolution for BSDEs under non-Lipschitzian coefficient. In order to get the result, the author investigates the existence and uniqueness of solution for a class BSDEs with the same drift coefficient g, and also obtain the comparison theorem.
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ON LEAST SUPERSOLUTIONS FOR A PROBLEM WITH AN OBSTACLE
Mathematics of the USSR-Izvestiya, 1973The existence of a least supersolution on a closed convex set of functions is proved for certain classes of quasilinear elliptic and parabolic equations. Such a least supersolution is a solution of a variational inequality.
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Smallest g-supersolution with constraint
Applied Mathematics-A Journal of Chinese Universities, 2000This paper studies the backward stochastic differential equation \[ Y_t = \xi + \int_t^T g(s,Y_s,Z_s) ds + A_T-A_t - \int_t^T Z_s dW_s \] with the constraint \(\varphi(t,Y_t,Z_t)\equiv 0\). Assuming the existence of a solution satisfying additional integrability requirements, the author shows the existence of a unique minimal solution within this class.
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On the growth of supersolutions of nonlinear PDE’s on exterior domains
Nonlinear Analysis, 2016The authors obtain a comparison principle on annuli, with ``catenoid-like'' functions, for supersolutions of non-linear elliptic PDEs \[ L_\phi(u)=\mathrm{div} (|\nabla u|^{-1}\phi(|\nabla u|)\nabla u)\leq 0\leq L_\phi(v_1) \] over exterior domains in a non-positively curved manifold with a pole.
Impera, Debora, Pigola, Stefano
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The sub- and supersolution method for variational–hemivariational inequalities
Nonlinear Analysis: Theory, Methods & Applications, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nonlinear superharmonic functions and supersolutions
Journal of Fixed Point Theory and Applications, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Shape supersolutions and quasi-minimizers
2015In this chapter we consider measurable sets Ω ⊂ ℝ d , which are optimal for some given shape functional ℱ, with respect to external perturbations, i.e.
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Some notes on supersolutions of fractional p-Laplace equation
Journal of Mathematical Analysis and Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Weak solutions and supersolutions in $ L^1 $ for reaction-diffusion systems
Journal of Evolution Equations, 2003The author proves that limits of nonnegative solutions to reaction-diffusion systems, whose nonlinearities are bounded in \(L^1\), always converge to supersolutions of the system. The paper is motivated by the general question of global existence in time of solutions for the wide class of systems preserving positivity and for which the total mass of ...
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