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Holder regularity of solutions of generalized p-Laplacian type parabolic equations

机译：广义p-Laplacian型抛物型方程解的Holder正则性

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Using ideas from the theory of Orlicz spaces, we discuss the Holder regularity of a bounded weak solution of a p--Laplacian type parabolic partial differential equation under generalized structure conditions. To show the Holder continuity of such solutions, we use the idea of spreading positivity and geometric characters besides the standard De Giorgi's iteration method. For showing Holder continuity of Du, we follow the perturbation argument. Under the generalized structure conditions, we give a uniform method of proof in an intrinsically scaled cylinder without separating degenerate and singular cases.

机译：利用Orlicz空间理论的思想，我们讨论了广义结构条件下p--Laplacian型抛物型偏微分方程的有界弱解的Holder正则性。为了显示此类解决方案的Holder连续性，除标准De Giorgi的迭代方法外，我们还采用了传播正数和几何特征的思想。为了显示Du的Holder连续性，我们遵循摄动论点。在广义结构条件下，我们给出了一个内在缩放的圆柱体的统一证明方法，而没有分离简并的情况。

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作者
Hwang, Sukjung.;
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作者单位

Iowa State University.;

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授予单位 Iowa State University.;
学科 Applied mathematics.
学位 Ph.D.
年度 2012
页码 120 p.
总页数 120
原文格式 PDF
正文语种 eng
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专利

1. Local Lipschitz continuity of the inverse of the fractional p-Laplacian, HOlder type continuity and continuous dependence of solutions to associated parabolic equations on bounded domains [J] . Warma Mahamadi Nonlinear Analysis: An International Multidisciplinary Journal . 2016,第Null期

机译：分数p-Laplacian，Holder型连续性的逆的局部Lipschitz连续性以及有界区域上相关抛物方程的解的连续依赖性
2. GRADIENT HOLDER REGULARITY FOR NONLINEAR PARABOLIC SYSTEMS OF p-LAPLACIAN TYPE [J] . Karim Corina, Misawa Masashi Differential and integral equations . 2016,第3a4期

机译：p-Laplacian型非线性抛物线型系统的梯度保持性
3. GRADIENT HOLDER REGULARITY FOR NONLINEAR PARABOLIC SYSTEMS OF p-LAPLACIAN TYPE [J] . Karim Corina, Misawa Masashi Differential and integral equations . 2016,第3a4期

机译：P-LAPLACIAN类型非线性抛物系统的梯度保持器规律
4. Local Holder Regularity of Weak Solutions for Degenerate Parabolic Type [C] . Corina Karim International Conference on Mathmatics and Its Applications . 2019

机译：退化抛物型薄弱解决方案的局部持有者规律
5. C(1,alpha) regularity of interfaces for solutions of the degenerate parabolic p-Laplacian equation. [D] . Ko, Youngsang. 1997

机译：退化的抛物线型p-Laplacian方程的解的接口的C（1，alpha）正则性。
6. Existence of periodic solution for fourth-order generalized neutral p-Laplacian differential equation with attractive and repulsive singularities [O] . Yun Xin, Hongmin Liu -1

机译：具有吸引和排斥奇点的四阶广义中立p-Laplacian微分方程周期解的存在性
7. Holder regularity of solutions of generalized p-Laplacian type parabolic equations [O] . Hwang, Sukjung 2012

机译：广义p-Laplacian型抛物型方程解的Holder正则性

Holder regularity of solutions of generalized p-Laplacian type parabolic equations

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