Chapter 304 (2/2)

The generalized p-Laplacian operator and the zero point of maximal operator are indeed the hot spots in the international research nowadays. It is good that the applied mathematics field in China has also followed this upsurge and carried out many projects, and the papers on this field are also one after another.

However, to be honest, there are very few subjects and papers about this aspect in China. As for the results that can be put into the international mathematical community to let the whole world learn, it is rare.

Therefore, Tsinghua University and Peking University jointly applied for this project, which represents the most advanced direction of p-Laplacian operator.

Of course, the most cutting-edge issues also mean that there is not much information to refer to. Everything depends on our own groping.

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

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

Five people eat and talk.

”Our subject, simply put, is to use the perturbation results of the range of pseudo monotone operator and maximal monotone operator to obtain the abstract conclusion that there exists unique solution for hyperbolic nonlinear differential equation with generalized p-Laplacian operator and mixed boundary value conditions.”

This is a generalization of the research work on Nonlinear Elliptic Equations and parabolic equations with generalized p-Laplacian operators, and the relationship between the unique solution of motion and the zeros of some maximal monotone operator is also discussed. Of course, I can't give a final conclusion on some of my conjectures and the methods to be used in the actual operation of these knowledge. ” Professor Fang first briefly explained the main research contents of the project.

Then, let a few people express their own opinions and say their own opinions.

To be honest, none of the four is an expert in this field.

Although the three graduate students are majoring in the field of correspondence, applied mathematics is divided into many research directions. None of their research directions is about p-Laplacian operator, and they have a little knowledge about this aspect.Of course, their kind of slightly involved refers to the degree to which the full score of the exam is no problem, and the research on new content is somewhat difficult.

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

Starting from Su Xuanqi, the three people have expressed their own unique views on this topic. They talked about a lot of formulas and theorems, but they did not specifically discuss the more in-depth issues.

To the last Cheng Nuo, several eyes all fall on him.

Cheng Nuo laughed and slowly opened his mouth, ”I don't know much about the professional knowledge in this field. I'll talk about the research direction I think about this topic. Of course, this is just my guess. I can't guarantee whether it can be implemented

”It doesn't matter. Just talk freely. It doesn't matter if you say it wrong.” Professor Fang gave Cheng Nuo an encouraging look.

Cheng Nuo coughed and organized his language. ”I think that this topic, our starting point, should be put on the Banach space.”

Cheng Nuo's tone is indescribable.

”Banach space? Isn't that in functional analysis? It has something to do with our subject? ” Gao Leng's elder Gu Shi frowned and opened his mouth.

”Let Cheng Nuo continue to say that mathematics is the subject of mutual penetration, there is no strict division of fields.” Professor Fang motioned Cheng Nuo to continue.

Cheng Nuo continued, ”it is true that Banach spaces and maximal monotone operators do not have much correlation. However, through the calculation of some formulas, they are related to each other.”

”If Ω is a compact Hausdorff space and C (Ω) is the whole of all real (or complex) valued continuous functions over Ω, then C (Ω) becomes a Banach space with respect to norm. If (Ω, μ) is a positive measure space, let LP (Ω, μ) denote all summable functions of degree p (P ≥ 1) on Ω, then LP (Ω, μ) becomes a Banach space with respect to norm... ”

Cheng Nuo talks.

A string of formulas blurted out without thinking.

Gu shisan said they were completely confused.

Only Professor Fang was able to keep up with Cheng Nuo's ideas.

Besides, Professor Fang nodded frequently while listening.