QUASILINEAR PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS

RTCO ZACHER

首页> 外文期刊>Differential and integral equations >QUASILINEAR PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS

【24h】

QUASILINEAR PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS

机译：具有非线性边界条件的拟线性抛物型积分微分方程

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

We study the L_p-theory of a class of quasilinear parabolic partial integro-differential equations with nonlinear boundary conditions. The main objective here is to prove existence and uniqueness of local (in time) strong solutions of these problems. Our approach relies on linearization and the contraction mapping principle. To make this work we establish optimal regularity estimates of L_p type for associated linear problems with inhomogeneous boundary data, using here recent results on maximal L_p-regularity for abstract parabolic Volterra equations.

机译：我们研究了一类具有非线性边界条件的拟线性抛物型偏微分积分方程的L_p理论。这里的主要目的是证明这些问题的本地（及时）强大解决方案的存在和唯一性。我们的方法依赖于线性化和收缩映射原理。为了完成这项工作，我们使用具有抽象抛物线Volterra方程的最大L_p正则性的最新结果，为具有不均匀边界数据的相关线性问题建立了L_p类型的最佳正则性估计。

著录项

来源
《Differential and integral equations》 |2006年第10期|共28页
作者
RTCO ZACHER;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类微分方程、积分方程;
关键词

相似文献

外文文献
中文文献
专利

1. QUASILINEAR PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS [J] . RTCO ZACHER Differential and integral equations . 2006,第10期

机译：具有非线性边界条件的拟线性抛物型积分微分方程
2. Quasilinear parabolic and elliptic equations with nonlinear boundary conditions [J] . Pao CV Nonlinear Analysis: An International Multidisciplinary Journal . 2007,第3期

机译：具有非线性边界条件的拟线性抛物方程和椭圆方程
3. Quasilinear parabolic equations with nonlinear Wentzell-Robin type boundary conditions [J] . Wanna M Journal of Mathematical Analysis and Applications . 2007,第2期

机译：具有非线性Wentzell-Robin型边界条件的拟线性抛物方程
4. GALERKIN METHOD FOR A QUASILINEAR PARABOLIC EQUATION WITH NONLOCAL BOUNDARY CONDITIONS [C] . BAI-LI CHEN Boundary value problems, Integral equations and related problems. . 2010

机译：具有非局部边界条件的拟线性抛物型方程的Galerkin方法。
5. Normalized p-laplacian evolution: boundary behavior of non-negative solutions of fully nonlinear parabolic equations: Gradient bounds for p-harmonic systems with vanishing neumann (dirichlet) data in a convex domain. [D] . Banerjee, Agnid. 2014

机译：归一化的p-拉普拉斯演化：完全非线性抛物方程的非负解的边界行为：具有在凸域中消失的Neumann（dirichlet）数据的p调和系统的梯度界。
6. Lyapunov-type inequalities for quasilinear elliptic equations with Robin boundary condition [O] . Ülkü Dinlemez Kantar, Tülay Özden -1

机译：具有Robin边界条件的拟线性椭圆型方程的Lyapunov型不等式
7. Quasilinear parabolic equations with nonlinear Wentzell–Robin type boundary conditions [O] . Warma Mahamadi 2007

机译：具有非线性Wentzell-Robin型边界条件的拟线性抛物方程
8. Theory of Nonlinear Diffusion of Plasma Across a Magnetic Field. I. Solution of a Class of Quasilinear Parabolic Equations. [R] . berryman,james g. 1976

机译：等离子体在磁场中的非线性扩散理论。一类拟线性抛物型方程的解。

QUASILINEAR PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS

摘要

著录项

相似文献

相关主题

期刊订阅