## Maximum principles for boundary-degenerate second-order linear elliptic differential operators

*Feehan, Paul M. N.*;

Related identifiers: doi: 10.1080/03605302.2013.831446 - Subject: Quantitative Finance - Pricing of Securities | Mathematics - Probability | Mathematics - Analysis of PDEs | Primary 35B50, 35B51, 35J70, 35J86, 35R45, secondary 49J20, 49J40, 60J60

- References (71)
Choose vε = u1 − εwε and observe that vε ∈ H01(O ∪ Σ, w) and vε ≥ u1 − uˆw ≥ u1 − uˆ = u1 ∧ u2 ≥ ψ a.e. on O.

(5) If u1 and u2 are solutions, respectively, for F1 ≥ F2 and ψ1 ≥ ψ2 a.e. on O, and g1 ≥ g2 on ∂O \ Σ in the sense of H1(O, w), then O Z

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