Chapter 143: Zhikov's conjecture
Wang Chongqing said with a smile: "These should be the students who listened to Mr. Pang's lecture yesterday, and it is normal to see Mr. Pang excited. By the way, Mr. Pang, how have you prepared for the content of today's report? ”
Pang Xuelin said with a smile: "It's ready, and you can come up and make a report at any time." ”
Wang Chongqing said: "That's good, it's not too early now, let's go to eat first, and then go directly to the lecture hall after eating." ”
"Okay!"
Then, Pang Xuelin and Wang Chongqing, father and daughter, went directly to the school cafeteria for dinner, and after dinner, they went straight to the lecture hall where the report meeting was held.
When the three of them arrived, there were already many people in the classroom, and Luo Jianzhong, the head of the mathematics department, was also present.
Not only most of the professors, associate professors, and lecturers of the Department of Mathematics attended the meeting, but also many students of the Department of Mathematics who had received the news came to observe.
Seeing Pang Xuelin and them coming in, Luo Jianzhong led several professors from the Department of Mathematics to greet them.
"Mr. Pang, you have finally arrived, come, let me introduce you, this is Professor Zhang Jie from our Department of Mathematics, whose main research direction is partial differential equations, this is Professor Xie Weijun, whose main research direction is topology and dynamical systems, and this is Professor Liu Yuan, whose main research direction is algebraic geometry......"
Luo Jianzhong introduced the professors of the Department of Mathematics to Pang Xuelin one by one.
"Professor Zhang, hello ......"
"Professor Xie, hello ......"
"Professor Liu, hello ......"
……
Pang Xuelin shook hands with these key scholars from the Department of Mathematics of Lincheng University one by one.
In the audience, except for those students who had already listened to Pang Xuelin's lecture yesterday, most of them looked at Pang Xuelin with a hint of curiosity.
From time to time, some scholars can be heard whispering.
"This Teacher Pang looks too young, isn't he?"
"Director Luo and Professor Wang should not look away, it is said that after reading the papers he wrote, Director Luo thought that this young man was enough to become one of the first-class mathematicians in China."
"I really can't understand how such a person can be a teacher in a rural primary school."
"Who knows?"
……
After Wang Muhui entered the classroom, she found a back seat in the lecture hall.
Sitting next to her was a girl.
Wang Muhui was a little curious: "This classmate, did you listen to Teacher Pang's lecture yesterday?" What is Mr. Pang talking about? ”
The girl glanced at Wang Muhui and said, "You only came here after listening to the rumors about Teacher Pang, let me tell you, I will definitely not disappoint you." I haven't understood the course of functional analysis for a semester, but yesterday Mr. Pang explained everything clearly in a class, and the level of the lecture was much higher than that of Professor Wang. ”
"Forehead ......"
Wang Muhui couldn't help but feel a little embarrassed.
co-authored his father was also slapped in the face by Pang Xuelin.
At this time, another person sat down next to Wang Muhui, Wang Muhui turned her head, and couldn't help but be slightly stunned: "Uncle Zhang, you are here." ”
Zhang Hewen said with a smile: "I'm not late!" ”
Wang Muhui said: "No, we just came." ”
Zhang Hewen said: "Xiaohui, I have been with Teacher Pang for a day today, have you found any special circumstances?" ”
Wang Muhui shook his head and said: "I followed him to the wholesale market for a day today, it seems that he really wants to do a small business to make some money a year ago, and I don't know what he thinks, with his talent, he can obviously live a very good life in the city......"
Zhang Hewen said with a smile: "It's very people, if this teacher Pang really goes to the market to sell things, you have to follow it......"
"Don't worry, Director Zhang, I'll keep an eye on it!"
……
The two were talking, at this time, Luo Jianzhong walked up to the podium and said: "Hello everyone, welcome to come to participate in Mr. Pang's academic report, I believe that everyone here has heard about yesterday's events, I can tell you that it is all true, although Mr. Pang is only a primary school teacher, but he has a deep research in various fields of mathematics, below, we have invited Mr. Pang to come to the stage to give a report for you." ”
Soon, there was a not-so-enthusiastic round of applause in the classroom.
Except for those students who have already listened to Pang Xuelin's lectures, most of the scholars in the Department of Mathematics are looking at Pang Xuelin with scrutinizing eyes.
Although they trust Luo Jianzhong and Wang Chongqing's vision, what Pang Xuelin's true level is depends on Pang Xuelin's performance in this report meeting.
Pang Xuelin walked onto the podium unhurriedly, his mentality was very calm, this kind of occasion was nothing at all for the reports he had experienced before.
He looked around and said with a smile: "Hello everyone, thank you very much Director Luo for giving me such an opportunity to give an academic report at Lincheng University. I'm sure you've all heard that yesterday, I grabbed one of Professor Wang's lectures and gave students a lesson on linear functional analysis. Today, I will continue to report in the area of functional analysis......"
The voices in the audience gradually quieted down, and only Pang Xuelin's voice echoed in the classroom.
"The theory and method of nonlinear functional analysis have become one of the research hotspots in the international mathematical community in recent years because of their extensive and important application background. Today, I would like to talk about some of the new advances I have made in my own research on nonlinear functional analysis. The report is mainly divided into the following three parts: the first part, the p(x)-Laplace equation and the Zhikov conjecture, the second part, the variational principle and its application, and the third part, the non-smooth analysis......"
"Zhikov conjecture?"
In the audience, many people knew that the face of this conjecture changed slightly.
Luo Jianzhong, who was sitting next to Wang Chongqing, was puzzled: "Old Wang, what's wrong with Zhikov's guess?" ”
There are thousands of conjectures in the field of mathematics, so even Luo Jianzhong, who is also a mathematics major and whose main research direction is topology and combinatorics, is not particularly familiar with this conjecture.
Wang Chongqing said: "Zhikov conjecture is a more important conjecture in the field of functional analysis, this conjecture is a conjecture put forward by the former Soviet mathematician Zhikov in 1982 at the seminar on partial differential equations at Moscow University, the main content of the conjecture is that when p(x) is a smooth function with a saddle point on the Ω, the function f that satisfies certain conditions can be non-regular. This conjecture was later put forward in a number of papers. Including Zhikov himself, many well-known mathematicians in the field of generalization analysis have been studying this conjecture for more than ten years, but it has not been solved. If this conjecture is solved, there is even a chance that it will be published in the four major journals......"
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