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Conditional Lie-Backlund symmetries andconcavity of solutions to nonlinear parabolicequations

机译:有条件的谎言障碍对称和非线性抛物面解决方案的校正力

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In this paper, we study the relation between conditional Lie-Backlund symmetries and the estimates for concavity (or convexity) and B-concavity (or B-convexity) of solutions to nonlinear parabolic equations. It is shown that the estimates for concavity and B-concavity of solutions are associated with the CLBSs of nonlinear parabolic equations. The estimates on concavity and B-concavity for the curve shortening equation, a fast diffusion model and a generalized p-Laplacian equation with source term are established.
机译:在本文中,我们研究了条件谎言对称与非线性抛物线方程的解的凹陷(或凸起)和B-engavity(或B型凸度)之间的关系。结果表明,解决方案的凹凸和B凹面的估计与非线性抛物线方程的CLBS相关联。建立了关于曲线缩短方程的凹陷和B凹陷的估计,快速扩散模型和具有源术语的广义的P-LAPLACIAN等式。

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