# Blowup solutions for stochastic parabolic equations

**Authors:** G. Lv, J. Wei

arXiv: 1907.00127 · 2019-07-03

## TL;DR

This paper investigates the blowup behavior of solutions to stochastic parabolic equations, utilizing comparison principles and deterministic results to establish conditions under which solutions become unbounded.

## Contribution

It introduces new blowup results for stochastic parabolic equations by adapting comparison techniques from deterministic cases.

## Key findings

- Blowup occurs under certain initial conditions.
- Comparison principles are effective in stochastic settings.
- Results extend deterministic blowup theory to stochastic equations.

## Abstract

In this short paper, we are concerned with the blowup phenomenon of stochastic parabolic equations. By using comparison principle and the results of deterministic parabolic equations, we obtain blowup results of solutions for stochastic parabolic equations.

## Full text

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## References

22 references — full list in the complete paper: https://tomesphere.com/paper/1907.00127/full.md

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Source: https://tomesphere.com/paper/1907.00127