Proves well-posedness of degenerate parabolic PDEs with Dirichlet conditions, develops shape-design approximation by non-degenerate equations, and obtains boundary observability inequality as application.
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math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Shape design approximation proposed for degenerate PDEs, used to obtain Carleman estimates for null controllability of degenerate parabolic equations by avoiding second derivatives.
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Shape Design for Degenerate Parabolic Equations with Degenerate Boundaries and Its Application to Boundary Observability
Proves well-posedness of degenerate parabolic PDEs with Dirichlet conditions, develops shape-design approximation by non-degenerate equations, and obtains boundary observability inequality as application.
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A Shape Design Approximation for Degenerate Partial Differential Equations and Its Application
Shape design approximation proposed for degenerate PDEs, used to obtain Carleman estimates for null controllability of degenerate parabolic equations by avoiding second derivatives.