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A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

169,291 papers · 148 categories

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2 results for Shapiro-Lopatinski

Uniform Shapiro-Lopatinski conditions ensure well-posedness of boundary value problems on manifolds with bounded geometry.

problem Boundary value problems on manifolds with boundary and bounded geometry.
method Uniform Shapiro-Lopatinski regularity condition, compactness argument, Nirenberg trick.
result Uniform Shapiro-Lopatinski condition characterizes well-posed boundary value problems.

Study on solutions to spinorial Yamabe equation on manifolds with boundary.

problem Existence of solutions to the spinorial Yamabe equation on compact manifolds with boundary.
method Iterative scheme combined with bootstrapping methods to establish existence under smallness assumptions.
result Existence of solutions established under smallness assumptions on parameters.