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math.AP2026
From zero solutions with partially bounded supports to solvability and Runge approximation for partial differential equations
Tomasz Ciás, Thomas Kalmes
The existence of non-trivial solutions of homogeneous partial differential equations with prescribed support properties plays a fundamental role in the theory of linear partial dif…
math.AP2025
Runge type approximation results for spaces of smooth Whitney jets
Tomasz Ciaś, Thomas Kalmes
We prove Runge type approximation results for linear partial differential operators with constant coefficients on spaces of smooth Whitney jets. Among others, we characterize when…