On an Application of the Method of Differential Inequalities to Equations of Parabolic Type Whose Right-Hand Side Grows Faster Than Quadratically with Respect to the Space Gradient

E. E. Bukzhalev

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On an Application of the Method of Differential Inequalities to Equations of Parabolic Type Whose Right-Hand Side Grows Faster Than Quadratically with Respect to the Space Gradient

机译：关于微分不等式方法在抛物线型方程中的应用（关于空间梯度，其抛物线型的右侧比平方增长快）

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In the present paper, we suggest a modification of the method of differential inequalities [1] for subsequent applications to singularly perturbed differential equations of the parabolic type.

机译：在本文中，我们建议对微分不等式方法的一种修改[1]，以便随后应用于抛物线型奇摄动微分方程。

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《Differential equations: A translation of differensial'nye uraveniya》 |2005年第3期|共11页
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E. E. Bukzhalev;
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正文语种 eng
中图分类微分方程、积分方程;
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1. On an Application of the Method of Differential Inequalities to Equations of Parabolic Type Whose Right-Hand Side Grows Faster Than Quadratically with Respect to the Space Gradient [J] . E. E. Bukzhalev Differential equations: A translation of differensial'nye uraveniya . 2005,第3期

机译：关于微分不等式方法在抛物线型方程中的应用（关于空间梯度，其抛物线型的右侧比平方增长快）
2. On an equation being a fractional differential equation with respect to time and a pseudo-differential equation with respect to space related to Lévy-type processes [J] . Ke Hu, Niels Jacob, Chenggui Yuan Fractional Calculus and Applied Analysis . 2012,第1期

机译：关于一个方程，它是关于时间的分数阶微分方程和关于Lévy型过程的关于空间的伪微分方程
3. A comparison of the String Gradient Weighted Moving Finite Element method and a Parabolic Moving Mesh Partial Differential Equation method for solutions of partial differential equations [J] . Wacher A. Central European Journal of Mathematics . 2013,第4期

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4. Correctness investigation of a boundary value problem for a parabolic equation with nonlocal space operator with respect to the solution gradient [C] . A S Ivanova, M F Pavlova International Conference on Mech Methods for Boundary-Value Problems and Applications . 2017

机译：关于溶液梯度与非函数空间算子抛物线方程的边值问题的正确性研究
5. An efficient algorithm based on quadratic spline collocation and finite difference methods for parabolic partial differential equations. [D] . Chen, Tong. 2005

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6. Gradient estimates for a nonlinear elliptic equation on smooth metric measure spaces and applications [O] . Abimbola Abolarinwa, Sulyman O. Salawu, Clement A. Onate 2019

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7. ON HOLDER TYPE INEQUALITY IN BESOV SPACES WITH APPLICATIONS TO THE NAVIER-STOKES EQUATIONS (Harmonic Analysis and Nonlinear Partial Differential Equations) [O] . Sawada Okihiro 2004

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8. Method of the Contour Integral and Its Application to the Solution of Manydimensional Mixed Problems for Differential Equations of the Parabolic Type [R] . Rasulov, M. L. 1964

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On an Application of the Method of Differential Inequalities to Equations of Parabolic Type Whose Right-Hand Side Grows Faster Than Quadratically with Respect to the Space Gradient

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