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| One-Sided Exact Boundary Null Controllability of Entropy Solutions to a Class of Hyperbolic Systems of Conservation Laws with Characteristics with Constant Multiplicity |
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Citation： |
Lei YU.One-Sided Exact Boundary Null Controllability of Entropy Solutions to a Class of Hyperbolic Systems of Conservation Laws with Characteristics with Constant Multiplicity[J].Chinese Annals of Mathematics B,2018,39(6):947~962 |
| Page view： 806
Net amount： 589 |
Authors： |
Lei YU; |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (No.11501122). |
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| Abstract： |
This paper proves the local exact one-sided boundary null
controllability of entropy solutions to a class of hyperbolic
systems of conservation laws with characteristics with constant
multiplicity. This generalizes the results in [{Li, T. and Yu, L.,}
One-sided exact boundary null controllability of entropy solutions
to a class of hyperbolic systems of conservation laws, To appear in
Journal de Math\'{e}matiques Pures et Appliqu\'{e}es, 2016.] for a
class of strictly hyperbolic systems of conservation laws. |
Keywords： |
Characteristics with constant multiplicity, One-sided boundary nullcontrollability, Semi-global entropy solution, $e$-Approximatefront tracking solution |
Classification： |
35L60, 35L65, 35B37 |
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