Chapter 327 Song Yao: 5 minutes is already very long Xu Qingzhou sat down at around 2 o'clock. When he pulled his mind away from the complicated calculations, he noticed that it was already 6 o'clock in the afternoon. He shook his head and thought to himself that no wonder his body was protesting and he felt weak. The desk was already piled with a thick stack of manuscripts filled with formulas. Although it is just building a framework, I can do some calculations when I come across something interesting. "Whoo~" Xu Qingzhou let out a long breath, twisted his sore neck, picked up his cell phone, and there were two messages from School Beauty Song. Song Yao: Senior Sister Han and I went to eat noodles. Song Yao: "." In the evening, I ate noodles with my senior sister in the research group and took photos. This is how they usually chat, simply, sending a photo of a meal, and when both of them are busy, the topic will come to an abrupt end.
Song Yao: "I ate two garlics, they will stink you to death at night." Song Yao: "." Xu Qingzhou was helpless, thinking: "Why do I feel like I've taken the style of School Beauty Song off track? Is this something a goddess should say?" Xu Qingzhou typed: "I want to eat noodles too. It doesn't matter if it stinks. Who's afraid of who?" Song Yao: "I don't dislike you." Xu Qingzhou: "I despise you." Song Yao: "I'm going to push you against the wall as hard as I can." Xu Qingzhou went to the cafeteria, ate some noodles to replenish his energy, and then returned to the library to continue working. The framework has been put up. His goal is to explore the improvement of Mockenhaupt-Seeger-Sogge local smoothness by establishing a variable coefficient version of the square function inequality through bilinear methods. A result on local smoothness proposed by three mathematicians, Mockenhaupt, Seeger and Sogge, when studying the Fourier integral operator. Specifically, it involves the smoothness change of the function after the Fourier integral operator acts. He intends to conduct research and improvement on this basis. In addition, he can also discuss the relationship between it and other mathematical conjectures. As Academician Chu Jiangfeng said, the local smoothness conjecture is one of the current research hotspots in mathematics, and it has strong intrinsic connections with fields such as partial differential equations, harmonic analysis, geometric measure theory, and number theory. Just like the local smoothness conjecture of half-wave operators in Euclid space is an advanced form of many famous mathematical conjectures, it directly implies the Bochner-Riesz conjecture, the restriction conjecture and the Kakeya conjecture, etc. The local smoothness conjecture of the Fourier integral operator, although it contains the word "conjecture", is actually significantly different from the conjectures he studied before. In many places, it directly refers to the study of the local smoothness of the Fourier integral operator. It is not a complete conjecture proposition like Cramer's conjecture and the twin prime conjecture. In the library, Xu Qingzhou stared at the manuscript in front of him. According to previous habits, when studying something, we must first figure out what it is, that is, write out the definition of the Fourier integral operator first.
It is not easy to define it either. It is not just a matter of saying that the Fourier integral operator originated from something and is a tool of something. Xu Qingzhou tapped the manuscript paper lightly with his fingers, thinking about where to start. Ten minutes later, he began to write. To introduce FIOs (Fourier integral operators), we can actually consider two typical examples. [The prototype of FIOs comes from the following half-wave operator: eit\begin{cases}(\)= f_0(x), \\partial_tu(x, 0)= f_1(x).\end{cases}] [Assume that the functions /1 and A satisfy appropriate regularity, note. /+: = i (/1-i(v^ A )- /i ), /_^^(/o + Kv^ A )- /!)] It can be seen here that the two terms on the right side of can be expressed in the same form. 【[ f_+:=\frac{1}{2}(f_0 - i(\sqrt\frac{1}{2}(f_0 + i(\sqrt{-\Delta})] Time passed by minute by minute. At 10 o'clock in the evening, Xu Qingzhou had already arrived at the gate of the School of Economics. The night sky was clear and the moonlight was bright. The bright moonlight poured down like a thin veil on the ground. There was still some time before the school term started, and there were already quite a few people on campus. The paper kings came to school to paper after the New Year. Several people walked out of the School of Economics, carrying schoolbags and walking hurriedly. It seemed that they had just finished self-study. Xu Qingzhou rubbed his hands and stamped his feet waiting for Song Yao. The temperature dropped sharply at night, and the several layers of clothes on my body could not keep out the cold. The Wolf Prize in Mathematics award ceremony will be held in Israel. On the morning of the 19th, Xu Qingzhou will fly to Jerusalem with Academician Chu Jiangfeng and others, followed by a five-day exchange meeting. The visa and materials have all been arranged, and in the fax sent to him by the Wolf Prize Foundation in Israel, he was specially invited to give a 40-minute lecture. Just summarize the contents of the previous few reports. Xu Qingzhou waited for a few minutes and finally saw two familiar figures appear at the stairs. Song Yao and Han Shiyi. When they got closer, Han Shiyi nodded to Xu Qingzhou as a greeting, and said with a smile: "Junior brother and sister, I have something else to do, so I'll leave first." "Goodbye, senior sister." As Xu Qingzhou spoke, he had already taken the soft little hand. "Your hands are so cold." Xu Qingzhou played the victim: "I've been waiting for you for almost 5 minutes. It would be strange if it didn't turn cold. Tell me, how are you going to compensate me?" "Well, 5 minutes is already a long time." Song Yao said. "." "Your words are ambiguous, Teacher Song~" Xu Qingzhou deliberately emphasized the last three words and asked, "What do you mean 5 minutes is already a long time? Who made the sofa wet last night?" In the distance, there was an intersection, but Han Shiyi deliberately slowed down her pace, so she could just see Xu Qingzhou and Song Yao. Looking at the couple she was obsessed with, she once again felt a longing for sweet love.
There is no need to talk about Xu Qingzhou, he is a real big shot and a math genius. Junior Sister Song is only a sophomore, but she has already published an SCI paper in the first zone. Professor Li is even more generous in teaching her. Two strong couples! Knock to death! This is much better than the industrial saccharin in those idol dramas I usually watch! Wait! Han Shiyi, who was enjoying the couple, suddenly paused. Was Junior Sister Song hitting Junior Brother Xu just now? Are you fighting? Are you all raising your fists? This is the second time I've seen this scene. but. She quickly denied it herself: "No, it's impossible. Junior Sister Song is so quiet, how could she do anything casually? This doesn't fit the image of an iceberg goddess." On this side, Xu Qingzhou covered his chest and stared at Song Yao resentfully, "You will beat me up sooner or later." "Hmph, don't think I don't know. It doesn't hurt at all." Song Yao curled her lips. She didn't use any force, and there were such thick clothes on top. "Don't you know how strong you are?" Xu Qingzhou complained, rubbing his chest. "Does it really hurt?" Xu Qingzhou's serious expression made Song Yao doubt herself. "It hurts a lot." Although Xu Qingzhou emphasized this, Song Yao didn't believe it. She was holding back. It shouldn't hurt at all. She was such a smart person, but she always made such stupid excuses. She glanced at her boyfriend: "So what do you want?" "Let me kiss you." "No." Song Yao refused subconsciously. Although there were not as many people on the street as usual, there were still two of them. It was immoral to be in public. Xu Qingzhou shrugged. He knew he would be rejected, but he just wanted to tease her. (End of this chapter)