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• W2082047626 abstract "The article deals with existence and uniqueness of the solution of the following differential equation (a c`adl`ag Skorokhod problem) driven by a maximal monotone operator and with singular input generated by the c`{a}dl`{a}g function $m$: [ left{ begin{array} [c]{l} dx_{t}+Aleft( x_{t}right) left( dtright) +dk_{t}^{d}ni dm_{t} ,,~tgeq0, x_{0}=m_{0}, end{array} right. ] where $k^{d}$ is a pure jump function. The jumps outside of the constrained domain $overline{mathrm{D}(A)}$ are counteracted through the generalized projection $Pi$, by taking $x_{t}=Pi(x_{t-}+Delta m_{t})$, whenever $x_{t-}+Delta m_{t}notinoverline {mathrm{D}(A)},$. Approximations of the solution based on discretization and Yosida penalization are considered." @default.
• W2082047626 created "2016-06-24" @default.
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• W2082047626 date "2015-09-01" @default.
• W2082047626 modified "2023-10-18" @default.
• W2082047626 title "Càdlàg Skorokhod problem driven by a maximal monotone operator" @default.
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• W2082047626 doi "https://doi.org/10.1016/j.jmaa.2015.03.086" @default.
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