output
20082026
most citedSmoothing parameter and model selection for general smooth models

1.4k citations

Showing 2020 · math.APShow all

5 papers · 2 filters

math.AP2020★ 6 cited

Principal frequency of p-sub-Laplacians for general vector fields

Michael Ruzhansky, Bolys Sabitbek, Durvudkhan Suragan

In this paper, we prove the uniqueness and simplicity of the principal frequency (or the first eigenvalue) of the Dirichlet p-sub-Laplacian for general vector fields. As a byproduc…

math.AP2020

Representation formulae for the higher-order Steklov and -Friedrichs inequalities

Tohru Ozawa, Durvudkhan Suragan

In this paper, we obtain remainder term representation formulae for the higher-order Steklov inequality for vector fields which imply short and direct proofs of the sharp (classica…

math.AP2020★ 1 cited

Trace formulae of potentials for degenerate parabolic equations

Mukhtar Karazym, Durvudkhan Suragan

In this paper, we analyze main properties of the volume and layer potentials as well as the Poisson integral for a multi-dimensional degenerate parabolic equation. As consequences,…

math.AP2020★ 8 cited

Multidimensional inverse Cauchy problems for evolution equations

Mukhtar Karazym, Tohru Ozawa, Durvudkhan Suragan

We discuss inverse problems to finding the time-dependent coefficient for the multidimensional Cauchy problems for both strictly hyperbolic equations and polyharmonic heat equation…

math.AP2020★ 15 cited

Regularity of Fourier integral operators with amplitudes in general Hörmander classes

Alejandro J. Castro, Anders Israelsson, Wolfgang Staubach

We prove the global -boundedness of Fourier integral operators that model the parametrices for hyperbolic partial differential equations, with amplitudes in classical Hörmande…