Inverse source problem for a generalized Korteweg–de Vries equation
Keyword(s):
De Vries
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AbstractIn this paper, we consider a seventh-order generalized Korteweg–de Vries (GKdV) equation and study the boundary stability results concerning the inverse problem of recovering a space-dependent source term. We establish a new boundary Carleman estimate for the seventh-order linear operator with the Dirichlet–Neumann type boundary conditions. Using this crucial estimate along with regularity result of the nonlinear GKdV equation, we establish a Lipschitz stability estimate of GKdV equation.
2020 ◽
Vol 54
(4)
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pp. 1373-1413
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2010 ◽
Vol 42
(1-2)
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pp. 189-209
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2000 ◽
Vol 7
(3)
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pp. 441-460
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2015 ◽
Vol 1
(3)
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pp. 491-501
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