THE SCALAR OSEEN OPERATOR -Δ + partial deriv/partial deriv_x_1 IN R~2

Cherif Amrouche; Hamid Bouzit

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THE SCALAR OSEEN OPERATOR -Δ + partial deriv/partial deriv_x_1 IN R~2

机译：标量视界算子-Δ+ R〜2中的偏导数/局部导数_x_1

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This paper solves the scalar Oseen equation, a linearized form of the Navier-Stokes equation. Because the fundamental solution has anisotropic properties, the problem is set in a Sobolev space with isotropic and anisotropic weights. We establish some existence results and regularities in L~p theory.

机译：本文解决了标量Oseen方程，这是Navier-Stokes方程的线性化形式。因为基本解具有各向异性性质，所以问题在具有各向同性和各向异性权重的Sobolev空间中提出。我们建立了L〜p理论的一些存在性结果和规律。

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《Applications of Mathematics》 |2008年第1期|p.41-80|共40页
作者
Cherif Amrouche; Hamid Bouzit;
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正文语种 eng
中图分类数理科学和化学;
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1. Scattering theory for the operator partial deriv/((partial deriv)t) - (partial deriv)~2/((partial deriv)x~2) - (partial deriv)~2/((partial deriv)y~2) [J] . Chun-Chung Hsieh Inverse Problems: An International Journal of Inverse Problems, Inverse Methods and Computerised Inversion of Data . 2002,第1期

机译：算子的散射理论偏导数/（（偏导数）t）-（偏导数）〜2 /（（偏导数）x〜2）-（偏导数）〜2 /（（偏导数）y〜2）
2. A Note on Gevrey Well-Posedness for the Operator partial deriv_t~2 — a(t)partial deriv_x(b(t,x)partial deriv_x) [J] . DANIELE DEL SANTO Rendiconti dell'Istituto di Matematica dell'Universita di Trieste . 2006,第1a2期

机译：关于运算符Gevrey适定性的说明偏deriv_t〜2 — a（t）偏deriv_x（b（t，x）偏deriv_x）
3. A Note on Gevrey Well-Posedness for the Operator partial deriv_t~2 — a(t)partial deriv_x(b(t,x)partial deriv_x) [J] . DANIELE DEL SANTO Rendiconti dell'Istituto di Matematica dell'Universita di Trieste . 2006,第期

机译：关于算子part deriv_t〜2 — a（t）partial deriv_x（b（t，x）partial deriv_x）的Gevrey适定性的一个注记
4. Numerical Validation of a Boundary Element Method With E and {partial deriv}E/{partial deriv}N as the Boundary Unknowns [C] . Johannes Markkanen, Alex J. Yuffa, Joshua A. Gordon International Applied Computational Electromagnetics Society Symposium in Denver . 2018

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5. Lineer Eliptik k?smi Diferensiyel Denklemlerde Integral operat?rler =Integral operators in linear elliptic partial differential equations [D] . Ya??z, ?brahim. 2021

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6. Determination of second-order elliptic operators in two dimensions from partial Cauchy data [O] . Oleg Y. Imanuvilov, Gunther Uhlmann, Masahiro Yamamoto 2011

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7. The scalar Oseen operator $-\Delta + {\partial}/{\partial x_1}$ in $\mathbb{R}^2$ [O] . Amrouche, Chérif, Bouzit, Hamid 2008

机译：标量Oseen运算符$-\ Delta + {\ partial} / {\ partial x_1} $ in $ \ mathbb {R} ^ 2 $
8. On the Relation of the Operator Partial derivative with respect to s + Partial derivative with respect to tau to Evolution Governed by Accretive Operators. [R] . Crandall, M. G., Evans, L. C. 1975

机译：关于算子偏导数与s +偏导数关于tau与增生算子演化的关系。

THE SCALAR OSEEN OPERATOR -Δ + partial deriv/partial deriv_x_1 IN R~2

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