報(bào)告承辦單位: 數(shù)學(xué)與統(tǒng)計(jì)學(xué)院
報(bào)告題目: ?An inverse random source problem for the bi-parabolic equation driven by a fractional Brownian motion
報(bào)告內(nèi)容: ?This talk is concerned with an inverse source problem for the stochastic bi-parabolic equation driven by a fractional Brownian motion. Given the random source, the direct problem is to study the solution of the stochastic bi-parabolic equation. The inverse problem is to determine the statistical properties of the source from the expectation and covariance of the final-time data. For the direct problem, it is shown to be well-posed with a unique mild solution. For the inverse problem, the uniqueness is proved and the instability is characterized. Finally, numerical experiments are presented to illustrate the reconstructions.
報(bào)告人姓名: 馮曉莉
報(bào)告人所在單位: 西安電子科技大學(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院
報(bào)告人職稱(chēng)/職務(wù)及學(xué)術(shù)頭銜: 副教授
報(bào)告時(shí)間: 2021年12月04日9:00－9:40
報(bào)告地點(diǎn): 卡斯迪漫享酒店二樓VIP會(huì)議廳
報(bào)告人簡(jiǎn)介: 馮曉莉，副教授、碩士生導(dǎo)師，2010年畢業(yè)于蘭州大學(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院。長(zhǎng)期從事偏微分方程中的反問(wèn)題研究，專(zhuān)注于反問(wèn)題中的正則化方法、反問(wèn)題的快速算法、以及反問(wèn)題是隨機(jī)情形的研究。主持完成國(guó)家自然科學(xué)基金項(xiàng)目2項(xiàng)；合作發(fā)表SCI檢索論文20余篇，發(fā)表期刊包括Inverse Problems，Applied Mathematical Modelling, SIAM Journal on Numerical Analysis等；2014年獲陜西省數(shù)學(xué)會(huì)青年教師優(yōu)秀論文一等獎(jiǎng)；2016年2017年分別獲陜西高等學(xué)校科學(xué)技術(shù)獎(jiǎng)一等獎(jiǎng)（6/6）和陜西省科學(xué)技術(shù)獎(jiǎng)一等獎(jiǎng)（6/7）各一項(xiàng)。
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