Chapter 307

The two seniors of the second year, one is called Zhang Chumen, and the other is called Gu Shi.

Both of them are direct protégés of Professor Fang, and they have followed Professor Fang since they were undergraduates.

Moreover, both of them were directly insured because they had achieved enough at the undergraduate level.

"Teacher, who is this?" Entering the door, Zhang Chumen glanced at Cheng Nuo and asked with a smile.

"Oh, he is Cheng Nuo introduced by Professor Lu, your junior brother who is about to join our research group, and in the next six months, Cheng Nuo will be one of us, you have to take care of him more. Professor Su introduced with a smile.

"Hello senior, I'm Cheng Nuo. Cheng Nuo stretched out his hand.

"Zhang Chumen. ”

"Gu Shi. ”

Senior Gu Shi was very cold, holding his arms, but he just nodded to Cheng Nuo, looking like a master outside the world.

Senior Zhang Chumen was very enthusiastic, and shook hands with Cheng Nuo with a smile.

In terms of age, Zhang Chumen is four or five years older than Cheng Nuo, but he doesn't have any shoulders.

He patted his chest, "Senior Brother Cheng Nuo, don't worry, the teachers have spoken, and they are all from the same college, if you encounter any problems in the future, just go directly to the graduate dormitory to find me." ”

Cheng Nuo said thank you and said that he received this feeling.

Coincidentally, at this time, Su Xuanqi came out of the kitchen with a plate of dishes.

She put a plate of sweet and sour pork ribs on the coffee table, wiped the fragrant sweat on her forehead, crossed her waist, and said to Cheng Nuo and the three of them, who were still standing, "What are you guys still doing standing here, hurry up and sit down to eat." ”

The three of them were a little hesitant.

Professor Fang smiled and asked the three of them to sit down, "Knowing that a few of you are coming, I will let Xiaoqi cook a few more dishes." I asked you to come here at noon, and you must not have had time to eat yet. It just so happened that we were eating and talking. ”

The three of them looked at each other and sat down one after the other.

After Su Xuanqi brought out all the dishes, she sat on the other side of the sofa with Professor Fang.

A few people chatted while eating, and what they talked about was naturally about the project.

Zhang Chumen smiled and said, "Teacher, shouldn't the name of our project be decided?"

Su Xuanqi replied, "The teacher told me that the name of this topic is "Monotonicity Method for Bicanonical Nonlinear Differential Equations Containing Generalized P-Laplacian Operators". ”

"A monotonicity method for bicanonical nonlinear differential equations with generalized p-Laplacian operators?" Cheng Nuo muttered in a small voice.

Haha, to be honest, if I hadn't been in graduate school, I would have been absolutely confused when I heard the name of this topic. But now, that's how it feels. Zhang Chumen, who was sitting beside Cheng Nuo, silently pretended to be forced in front of himself, the junior brother he met for the first time.

Cheng Nuo shrugged, "It's okay." ”

In fact, after Professor Lu took the topic, Cheng Nuo had an in-depth understanding of this knowledge after he went back.

The more he learned, the more Cheng Nuo realized why the entire School of Mathematics regarded this research project so seriously.

Generalized p-Laplacian operators and maximum operator zero points are indeed hot spots in international research today, and the field of applied mathematics in China has also followed this upsurge and carried out many projects, and papers on this area are also one after another.

However, to be honest, there are very few topics and papers on this subject in China that can be taken out. As for the results that can be put on the international stage for the whole world mathematics community to learn, it is even rarer.

Therefore, Tsinghua University and Peking University will rarely apply for a joint application, which represents the most cutting-edge topic in the direction of p-Laplacian operators.

Of course, the most cutting-edge issues also mean that there is not much information to refer to. It's all up to you.

The burden is heavy, especially for Cheng Nuo, who is still in the undergraduate stage.

Of course, fortunately, there is the existence of Professor Fang's thick thigh.

The five of them chatted while eating.

"In simple terms, our project is to use the perturbation results of pseudo-monotonic operators and extremely monotonic operator ranges to obtain the abstract conclusion that there is a unique solution of hyperbolic nonlinear differential equations with generalized p-Laplacian operators and mixed boundary value conditions. ”

This is a generalization of the work on nonlinear elliptic equations and parabolic equations containing generalized p-Laplacian operators, as well as the relationship between the unique solution of motion and the zero point of a maximally monotonic operator. Of course, I can't give a definitive conclusion about some of my conjectures and what methods will be used in the actual operation process. Professor Fang first briefly explained the main research content of the topic.

Afterwards, let a few people express their opinions and express their opinions.

Truth be told, none of the four are experts in this area.

Although the three graduate students are in the field of mathematics, applied mathematics is divided into many research directions, and none of the three of them are related to the p-Laplacian operator, and they have a little knowledge in this area.

Of course, their kind of slight involvement refers to the degree to which a perfect score on the exam is fine, and it is somewhat difficult to study the new content.

Talking about some superficial things, the three of them are still very relaxed.

Starting from Su Xuanqi, the three of them successively expressed their unique views on this topic, and talked about a lot of formulas and theorems, but none of them specifically talked about more in-depth issues.

At the end, Cheng Nuo, several eyes fell on him.

Cheng Nuo smiled and slowly spoke, "Regarding this professional knowledge, I don't know as much as my seniors, so I'll talk about the research direction I came up with on this topic." Of course, this is just my speculation, and I can't guarantee whether it will be implemented. ”

"It's okay, just say what you want, it's okay to say something wrong. Professor Fang gave Cheng Nuo an encouraging look.

Cheng Nuo coughed lightly and organized his language, "I think that this topic, our entry point, should be placed on the Banach space!"

Cheng Nuo's tone was inexplicably determined.

"Banach space, isn't that in functional analysis, and it has something to do with our subject?" said the cold senior Gu Shi.

Let Cheng Nuo continue, the subject of mathematics is interconnected, and there is no strict division of fields. Professor Fang motioned for Cheng Nuo to continue.

Cheng Nuo continued, "It is true that Banach spaces and extremely monotonic operators do not have much correlation, but the problem is to correlate the two through the calculation of some formulas. ”

"Suppose Ω is a tight Hausdorff space so that C(Ω) denotes the whole of a continuous function of a substantial (or complex) value in Ω, then C(Ω) becomes a Banach space with respect to norms. For example, if (Ω,μ) is a positive measure space, so that Lp(Ω,μ) denotes the sum of all p(p≥1) summable functions on the Ω, then Lp(Ω,μ) becomes a Banach space with respect to norms......"

Cheng Nuo talked eloquently.

A string of formulas blurted out without thinking.

Gu Shi and the three said that they were completely confused.

Professor Fang was the only one who could keep up with Cheng Nuo's train of thought on the spot.

Moreover, Professor Fang nodded frequently while listening.

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