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

1.4k citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2024 · math.APShow all

5 papers · 2 filters

math.AP2024

On the critical behavior for the semilinear biharmonic heat equation with forcing term in an exterior domain

Nurdaulet N. Tobakhanov, Berikbol T. Torebek

In this paper, we investigate the critical behavior of solutions to the semilinear biharmonic heat equation with forcing term under six homogeneous boundary conditions. Thi…

math.AP2024

Existence of normalized ground state solution to a mixed Schrödinger system in a plane

Ashutosh Dixit, Amin Esfahani, Hichem Hajaiej +1

In this paper, we establish the existence of positive ground state solutions for a class of mixed Schrödinger systems with concave-convex nonlinearities in , subject…

math.AP2024★ 6 cited

A Hamiltonian Dysthe equation for hydroelastic waves in a compressed ice sheet

Philippe Guyenne, Adilbek Kairzhan, Catherine Sulem

Nonlinear hydroelastic waves along a compressed ice sheet lying on top of a two-dimensional fluid of infinite depth are investigated. Based on a Hamiltonian formulation of this pro…

math.AP2024★ 1 cited

Interaction between long internal waves and free surface waves in deep water

Adilbek Kairzhan, Christopher Kennedy, Catherine Sulem

We consider a density-stratified fluid composed of two immiscible layers separated by a sharp interface. We study the regime of long internal waves interacting with modulated surfa…

math.AP2024

Critical, stability and higher-order analysis for Hardy type inequalities on Cartan-Hadamard manifolds

Prasun Roychowdhury, Durvudkhan Suragan, Nurgissa Yessirkegenov

In this paper, we focus on three main objectives related to Hardy-type inequalities on Cartan-Hadamard manifolds. Firstly, we explore critical Hardy-type inequalities that contain…