The Science Fiction World of Xueba
Chapter 143 Zhikov Conjecture
Wang Chongqing said with a smile: "These should be the students who listened to Teacher Pang's lecture yesterday. It is normal to see Teacher Pang excited. I also benefited a lot from the linear functional analysis that Teacher Pang taught yesterday! By the way, Teacher Pang, How are you preparing for today's report?"
Pang Xuelin said with a smile: "It's ready, and you can go up to make a report at any time."
Wang Chongqing said: "That's good, it's getting late now, let's go to eat first, and go directly to the auditorium after dinner."
"OK!"
Then, Pang Xuelin, father and daughter Wang Chongqing went directly to the school cafeteria to have dinner, and after the meal, they went straight to the lecture theater where the lecture was held.
When the three arrived, there were already many people in the classroom, and Luo Jianzhong, the head of the mathematics department, was also present.
Not only did most of the professors, associate professors, and lecturers of the Department of Mathematics attend this report meeting, but also many students of the Department of Mathematics who got the news came to listen.
Seeing Pang Xuelin and the others come in, Luo Jianzhong led several professors from the Department of Mathematics to greet them.
"Mr. Pang, you are finally here. Come on, let me introduce you. This is Professor Zhang Jie from our Department of Mathematics. His main research direction is partial differential equations. This is Professor Xie Weijun. His main research direction is topology and dynamical systems. 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 backbone scholars of the Department of Mathematics of Lincheng University.
In the audience, except for those students who had already listened to Pang Xuelin's lecture yesterday, most people looked at Pang Xuelin with a hint of curiosity.
From time to time, some scholars can be heard talking in low voices.
"This Teacher Pang looks too young, isn't he really as powerful as in the legend?"
"Director Luo and Professor Wang should not be mistaken. It is said that after reading the papers written by him, Director Luo thinks that this young man is enough to be among the top mathematicians in China."
"I really don't understand how such a person can be a teacher in a rural elementary school."
"Who knows?"
...
After Wang Muhui entered the classroom, she found a seat at the back of the lecture theater and sat down.
Sitting next to her was a girl.
Wang Muhui asked curiously, "Student, did you listen to Teacher Pang's lecture yesterday? How did Teacher Pang teach?"
The girl glanced at Wang Muhui and said, "You came here after hearing the rumors about Mr. Pang. Let me tell you, you will never be disappointed. I have studied functional analysis for a semester. I haven't learned it yet, but Teacher Pang explained everything clearly in one class yesterday, and the level of lectures is much higher than that of Professor Wang."
"Forehead……"
Wang Muhui couldn't help feeling a little embarrassed.
Co-authoring his father was also slapped in the face by Pang Xuelin.
At this time, another person sat down beside Wang Muhui. Wang Muhui turned her head and couldn't help being slightly taken aback: "Uncle Zhang, you are here."
Zhang Hewen smiled and said, "I'm not late!"
Wang Muhui said: "No, we just came here too."
Zhang Hewen said: "Xiaohui, I followed Teacher Pang for a day today, did you find anything special?"
Wang Muhui shook her head and said: "I followed him around the wholesale market for a day today. It seems that he really wanted to start a small business to make some money a year ago. I don't know what he thinks. With his talent, he can obviously be in Nice life in the city...”
Zhang Hewen said with a smile: "Very people do extraordinary things,
Next, if Teacher Pang really goes to the market to sell things, you have to follow him..."
"Don't worry, Director Zhang, I'm watching!"
[Zero Reading 00ks]...
The two were talking, at this time, Luo Jianzhong stepped onto the podium and said, "Hi everyone, welcome to Mr. Pang's academic report meeting. I believe everyone here has heard about what happened yesterday. I can tell you , It’s all true, although Teacher Pang is only an elementary school teacher, he has deep research in various fields of mathematics. Next, we invite Teacher Pang to come on stage to give a report for everyone.”
Soon, there was a burst of not-so-warm 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 scrutiny.
Although they trusted the vision of Luo Jianzhong and Wang Chongqing, the real level of Pang Xuelin still depends on Pang Xuelin's performance in this report meeting.
Pang Xuelin walked up to the podium without haste, and his mentality was very calm. This kind of occasion was nothing to those lectures he had experienced before.
He looked around and said with a smile: "Hello everyone, I am very grateful to Director Luo for giving me such an opportunity to give an academic report at Lincheng University. I believe everyone has heard that yesterday, I robbed Professor Wang In one of my lectures, I taught the students a section on linear functional analysis. Today, I will continue to give a report in the field of functional analysis..."
The voices in the audience gradually quieted down, only Pang Xuelin's voice echoed in the classroom.
"Because of its extensive and important application background, the theory and method of nonlinear functional analysis has become one of the research hotspots in the international mathematics community in recent years. Today, I will explain my personal research on nonlinear functional analysis Some new progress made in. The report is mainly divided into the following three parts, the first part, p(x)-equation and Zhikov conjecture, the second part, variational principle and its application, the third part, non-smooth analysis... "
"Zhikov conjecture?"
In the audience, the faces of many people who knew this conjecture changed slightly.
Luo Jianzhong, who was sitting next to Wang Chongqing, wondered, "Old Wang, Zhikov guessed what happened?"
There are tens of thousands of conjectures in the field of mathematics. Therefore, 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: "The Zhikov conjecture is a relatively important conjecture in the field of functional analysis. This conjecture was proposed by the former Soviet mathematician Zhikov in a seminar on partial differential equations at Moscow University in 1982. The main content of the conjecture is that when p When (x) is a smooth function with a saddle point on Ω, the function f that satisfies certain conditions can be irregular. This conjecture was later publicly proposed in many papers. Including Zhikov himself, there are many international Well-known mathematicians in the field of less-extensive analysis have conducted research on this conjecture for more than ten years, but it has not been resolved. If this conjecture is resolved, there may even be a chance to be published in the four major journals..."
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