Sentence examples for restriction norm from inspiring English sources

We will discuss the local well-posedness for the fourth-order Schrödinger equation by the Fourier restriction norm method.

Bourgain obtained the well-posedness for the nonlinear Schrödinger equation ( | u | p u ) by the Fourier restriction norm method (see [4]).

We obtain the local well-posedness for the Cauchy problem with low regularity initial value data by the Fourier restriction norm method.

In this paper, inspired by [1 5], by using the Fourier restriction norm method, we establish that (1.1 - 1.2 1.1 - 1.2ly well-posed is Sobolocallyce H s with s > − 7 4. Now we give some notatinnSobolevefinitionspace

Firstly, by using the Fourier restriction norm method and the fixed point theorem, we prove that the Cauchy problem for a generalized Ostrovsky equation partial_{x} biggl u_{t}-betapartial_{x}^{3}u +frac{1}{3}partial_{x}biggl u_{t}-betapartial_{xamma u=0,quadbeta>0,gamma>0, is locally well-posed in (H^{s}^{3}ubiggr)) with (sgeqfrac{1}{4}).

This paper is devoted to the Cauchy problem for the higher-order dispersive equation u t + ∂ x 7 u = ∂ x 2 ( u 2 ), x, t ∈ R. The local well-posedness of the associated Cauchy problem is established in Sobolev space H s ( R ) with s > − 7 4 with the aid of the Fourier restriction norm method.

To define the constrain, we can use mathematical restrictions (minimum norm estimates) or anatomical, physiological, and functional prior information.

A matrix ordered operator space is called matrix regular if, at each matrix level, the restriction of the norm to the self-adjoint elements is a regular norm.

The list of American barriers he rattled off is formidable: "Tariff peaks, retaliatory threats, antidumping and countervailing measures, quotas, safeguards, voluntary restriction agreements, restrictive technical norms, sanitary and phytosanitary measures and increasing domestic subsidies".

We note that a subalgbra of a normed algebra is itself a normed algebra with the norm got by restriction.

His colleague Aaron Shmulewitz, who represents co-ops and condos, added: "The norm is restriction, especially with large dogs and with breeds like Dobermans and Rottweilers.