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Strong backward uniqueness for sublinear parabolic equations
Nonlinear Differential Equations and Applications (NoDEA) ( IF 1.1 ) Pub Date : 2020-10-06 , DOI: 10.1007/s00030-020-00657-5
Vedansh Arya , Agnid Banerjee

In this paper, we establish strong backward uniqueness for solutions to sublinear parabolic equations of the type (1.1). The proof of our main result Theorem 1.3 is achieved by means of a new Carleman estimate and a Weiss type monotonicity formula that are tailored for such parabolic sublinear operators.



中文翻译:

次线性抛物方程的强向后唯一性

在本文中,我们为类型为(1.1)的亚线性抛物方程建立了强大的后向唯一性。我们的主要结果的证明定理1.3是通过新的Carleman估计和针对此类抛物线亚线性算子量身定制的Weiss型单调性公式实现的。

更新日期:2020-10-07
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