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DEVELOPMENT OF A PROCESS MODEL FOR THE PREDICTION OF ABSORBENT DEGRADATION DURING
$\text{CO}_{2}$ CAPTURE
- Part of
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- Journal:
- Bulletin of the Australian Mathematical Society / Volume 94 / Issue 2 / October 2016
- Published online by Cambridge University Press:
- 16 August 2016, pp. 339-340
- Print publication:
- October 2016
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- Article
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Systems of Weakly Coupled Hamilton-Jacobi Equations with Implicit Obstacles
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- Journal:
- Canadian Journal of Mathematics / Volume 64 / Issue 6 / 01 December 2012
- Published online by Cambridge University Press:
- 20 November 2018, pp. 1289-1309
- Print publication:
- 01 December 2012
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- Article
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- You have access
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In this paper we study systems of weakly coupled Hamilton-Jacobi equations with implicit obstacles that arise in optimal switching problems. Inspired by methods from the theory of viscosity solutions and weak
$\text{KAM}$ theory, we extend the notion of Aubry set for these systems. This enables us to prove a new result on existence and uniqueness of solutions for the Dirichlet problem, answering a question of F. Camilli, P. Loreti, and N. Yamada.
