Abstract In this paper we give a characterization of Ulam stability for the linear partial differential operator D: C^1 (R^2, X) C (R^2, X) D: C 1 (R 2, X) → C (R 2, X) given by Du=auₗ+buₘ+cu D u = a u x + b u y + c u, where a, b, c R a, b, c ∈ R and X is a Banach space over R R. Moreover, we obtain the best Ulam constant of the operator D.
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Novac et al. (Mon,) studied this question.
www.synapsesocial.com/papers/69df2b85e4eeef8a2a6b0834 — DOI: https://doi.org/10.1007/s00010-026-01287-5
Adela Novac
Diana Otrocol
Dorian Popa
Aequationes Mathematicae
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