一类抛物型Clarke次微分包含的双步格式收敛性
Convergence of double step scheme for a class of parabolic Clarke subdifferential inclusions
AI总结：
本文针对含Clarke次微分的一阶演化包含，提出双步Rothe半离散格式，并证明其解序列弱收敛到原问题解。
摘要：
本文研究一类一阶演化包含，其中包含由局部Lipschitz势的Clarke次微分生成的多值项。针对该问题，我们构造了双步时间半离散逼近，即Rothe格式。我们研究半离散近似问题的解序列，并证明其弱收敛到原问题的解。
英文摘要：
In this paper we deal with a first order evolution inclusion involving a multivalued term generated by a Clarke subdifferential of a locally Lipschitz potential. For this problem we construct a double step time-semidiscrete approximation, known as the Rothe scheme. We study a sequence of solutions of the semidiscrete approximate problems and provide its weak convergence to a limit element that is a solution of the original problem.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
