The Green's function on the Tate curve is built as a finite sum and the mean field equation is shown to have solutions that exist by convergence from finite quotients and are unique for some parameter values.
Diffusion operators onp-adic analytic manifolds
2 Pith papers cite this work. Polarity classification is still indexing.
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math.NT 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Introduces novel coordinate Laplacians on p-adic analytic n-manifolds via frame bundles to construct elliptic operators and solve generalized Dirichlet problems.
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The Mean field equation on the Tate curve
The Green's function on the Tate curve is built as a finite sum and the mean field equation is shown to have solutions that exist by convergence from finite quotients and are unique for some parameter values.
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Boundary Value Problems on $p$-Adic Analytic Manifolds
Introduces novel coordinate Laplacians on p-adic analytic n-manifolds via frame bundles to construct elliptic operators and solve generalized Dirichlet problems.