arXiv Open Access 2025

Ancient Solutions to the Biharmonic Heat Equation

Alexander D. McWeeney

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Abstrak

We show that the space of polynomially bounded ancient solutions to the biharmonic heat equation on a complete manifold with polynomial volume growth is bounded by the dimensions of spaces of polynomially bounded biharmonic functions. This generalizes the work of Colding and Minicozzi in [6] for ancient caloric functions.

Topik & Kata Kunci

math.DG math.AP

Penulis (1)

Alexander D. McWeeney

Format Sitasi

APA MLA BibTeX

McWeeney, A.D. (2025). Ancient Solutions to the Biharmonic Heat Equation. https://arxiv.org/abs/2512.13952

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓