Matches in SemOpenAlex for { <https://semopenalex.org/work/W2975608980> ?p ?o ?g. }
- W2975608980 endingPage "53" @default.
- W2975608980 startingPage "53" @default.
- W2975608980 abstract "In this paper, we consider the optimal control of semilinear elliptic PDEs with random inputs. These problems are often nonconvex, infinite-dimensional stochastic optimization problems for which we employ risk measures to quantify the implicit uncertainty in the objective function. In contrast to previous works in uncertainty quantification and stochastic optimization, we provide a rigorous mathematical analysis demonstrating higher solution regularity (in stochastic state space), continuity and differentiability of the control-to-state map, and existence, regularity and continuity properties of the control-to-adjoint map. Our proofs make use of existing techniques from PDE-constrained optimization as well as concepts from the theory of measurable multifunctions. We illustrate our theoretical results with two numerical examples motivated by the optimal doping of semiconductor devices." @default.
- W2975608980 created "2019-10-03" @default.
- W2975608980 creator A5040157819 @default.
- W2975608980 creator A5054813354 @default.
- W2975608980 date "2020-01-01" @default.
- W2975608980 modified "2023-10-05" @default.
- W2975608980 title "Risk-averse optimal control of semilinear elliptic PDEs" @default.
- W2975608980 cites W147998453 @default.
- W2975608980 cites W1497246097 @default.
- W2975608980 cites W1531856058 @default.
- W2975608980 cites W1538934584 @default.
- W2975608980 cites W1607530402 @default.
- W2975608980 cites W1967998693 @default.
- W2975608980 cites W1973803192 @default.
- W2975608980 cites W197594695 @default.
- W2975608980 cites W1979257737 @default.
- W2975608980 cites W1982421072 @default.
- W2975608980 cites W1991015770 @default.
- W2975608980 cites W2003738530 @default.
- W2975608980 cites W2005145469 @default.
- W2975608980 cites W2007325456 @default.
- W2975608980 cites W2009485836 @default.
- W2975608980 cites W2011375448 @default.
- W2975608980 cites W2013111223 @default.
- W2975608980 cites W2016355805 @default.
- W2975608980 cites W2018159038 @default.
- W2975608980 cites W2019291268 @default.
- W2975608980 cites W2022176369 @default.
- W2975608980 cites W2032816801 @default.
- W2975608980 cites W2034942773 @default.
- W2975608980 cites W2040960244 @default.
- W2975608980 cites W2041509689 @default.
- W2975608980 cites W2041928877 @default.
- W2975608980 cites W2058362163 @default.
- W2975608980 cites W2059407032 @default.
- W2975608980 cites W2067780150 @default.
- W2975608980 cites W2080364619 @default.
- W2975608980 cites W2085298086 @default.
- W2975608980 cites W2086643378 @default.
- W2975608980 cites W2091051118 @default.
- W2975608980 cites W2095430097 @default.
- W2975608980 cites W2119396080 @default.
- W2975608980 cites W2207792388 @default.
- W2975608980 cites W2263557086 @default.
- W2975608980 cites W2268206128 @default.
- W2975608980 cites W2483549946 @default.
- W2975608980 cites W2504814367 @default.
- W2975608980 cites W2561737526 @default.
- W2975608980 cites W2568189903 @default.
- W2975608980 cites W2766727461 @default.
- W2975608980 cites W2806083605 @default.
- W2975608980 cites W2963538079 @default.
- W2975608980 cites W2967872018 @default.
- W2975608980 cites W4293259004 @default.
- W2975608980 cites W4301021743 @default.
- W2975608980 cites W581038412 @default.
- W2975608980 doi "https://doi.org/10.1051/cocv/2019061" @default.
- W2975608980 hasPublicationYear "2020" @default.
- W2975608980 type Work @default.
- W2975608980 sameAs 2975608980 @default.
- W2975608980 citedByCount "11" @default.
- W2975608980 countsByYear W29756089802020 @default.
- W2975608980 countsByYear W29756089802021 @default.
- W2975608980 countsByYear W29756089802022 @default.
- W2975608980 countsByYear W29756089802023 @default.
- W2975608980 crossrefType "journal-article" @default.
- W2975608980 hasAuthorship W2975608980A5040157819 @default.
- W2975608980 hasAuthorship W2975608980A5054813354 @default.
- W2975608980 hasBestOaLocation W29756089801 @default.
- W2975608980 hasConcept C105795698 @default.
- W2975608980 hasConcept C108710211 @default.
- W2975608980 hasConcept C111919701 @default.
- W2975608980 hasConcept C11413529 @default.
- W2975608980 hasConcept C126255220 @default.
- W2975608980 hasConcept C134306372 @default.
- W2975608980 hasConcept C137836250 @default.
- W2975608980 hasConcept C170131372 @default.
- W2975608980 hasConcept C194387892 @default.
- W2975608980 hasConcept C202615002 @default.
- W2975608980 hasConcept C2524010 @default.
- W2975608980 hasConcept C2778572836 @default.
- W2975608980 hasConcept C28826006 @default.
- W2975608980 hasConcept C33923547 @default.
- W2975608980 hasConcept C41008148 @default.
- W2975608980 hasConcept C48103436 @default.
- W2975608980 hasConcept C72434380 @default.
- W2975608980 hasConcept C91575142 @default.
- W2975608980 hasConceptScore W2975608980C105795698 @default.
- W2975608980 hasConceptScore W2975608980C108710211 @default.
- W2975608980 hasConceptScore W2975608980C111919701 @default.
- W2975608980 hasConceptScore W2975608980C11413529 @default.
- W2975608980 hasConceptScore W2975608980C126255220 @default.
- W2975608980 hasConceptScore W2975608980C134306372 @default.
- W2975608980 hasConceptScore W2975608980C137836250 @default.
- W2975608980 hasConceptScore W2975608980C170131372 @default.
- W2975608980 hasConceptScore W2975608980C194387892 @default.
- W2975608980 hasConceptScore W2975608980C202615002 @default.
- W2975608980 hasConceptScore W2975608980C2524010 @default.