A quantitative weak unique continuation theorem is established for backward degenerate parabolic equations on annular domains with degenerate interior points by approximating with non-degenerate equations and applying Carleman estimates.
Alabau-Boussouira, P
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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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Quantitative Weak Unique Continuation on Annular Domains for Backward Degenerate Parabolic Equations with Degenerate Interior Points
A quantitative weak unique continuation theorem is established for backward degenerate parabolic equations on annular domains with degenerate interior points by approximating with non-degenerate equations and applying Carleman estimates.
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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.