OpenAlex ·
The critical exponent for the two-dimensional semilinear wave equation with strong damping
- Published
- Source
- OpenAlex
- Published in
- arXiv (Cornell University)
- DOI
- 10.48550/arxiv.2609.01964
- Original
- Read it at the publisher
- Topics
Abstract
In this manuscript, we determine the critical exponent for the two-dimensional semilinear wave equation with strong damping. A recent result in D'Abbicco (arXiv, 2026) gives global in-time small data solutions for $p>\frac{10}{3}$, whereas we in the paper prove finite-time blow-up for $2
The authors’ abstract, as arXiv lists it. arXiv’s listings, abstracts included, are free for anyone to reuse.
Read it on ReadSearch
Each opens after you create an account, and brings you back to this paper.
More in Systems & Control
The higher-dimensional Shepp problem: an exact criterion for random ball coverings of tori
A $p$-summability approach to the weak maximizing property
The truncated octahedron minimizes surface area among parallelohedra of equal volume
PRICE: A Systematic Study of LLM Adaptation Choices for Bitcoin Price Forecasting
Global smooth behavior in Kuznetsov and Westervelt type viscous wave equations: A unifying approach covering $W^{1,q}$-small initial data
Get the few papers worth your time in Systems & Control every morning.
ReadSearch reads the new papers in your field each day and brings you the few worth reading, each with its key finding in a sentence.