arXiv Open Access 2024

Generalized Young Measure Solutions for a Class of Quasilinear Parabolic Equations with Linear Growth

Jingfeng Shao Zhichang Guo Chao Zhang

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Abstrak

Using the generalized Young measure theory, we extend the theory of Young measure solutions to a class of quasilinear parabolic equations with linear growth, and introduce the concept of generalized Young measure solutions. We prove the existence and uniqueness of the generalized Young measure solutions. In addition, for the gradient flow of convex parabolic variational integral, we show that the generalized Young measure solutions are equivalent to the strong solutions.

Topik & Kata Kunci

math.AP

Penulis (3)

Jingfeng Shao

Zhichang Guo

Chao Zhang

Format Sitasi

APA MLA BibTeX

Shao, J., Guo, Z., Zhang, C. (2024). Generalized Young Measure Solutions for a Class of Quasilinear Parabolic Equations with Linear Growth. https://arxiv.org/abs/2406.01043

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓