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math.AP2025
Fine boundary regularity for fully nonlinear mixed local-nonlocal problems
Mitesh Modasiya, Abhrojyoti Sen
We consider Dirichlet problems for fully nonlinear mixed local-nonlocal non-translation invariant operators. For a bounded domain let $u\in C(\mathb…
math.AP2025
1D pressureless gas dynamics systems in a strip
Abhrojyoti Sen
We construct explicit measure-valued solutions to the one-dimensional pressureless gas dynamics system in a strip-like domain by introducing a new boundary potential. The construct…