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arXiv · 2506.04498

Blow up of solutions for pseudo-parabolic equation with singular potential and variable exponents

Nguyen Thanh Tung·Le Xuan Truong·Tan Duc Do·Nguyen Ngoc Trong
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Abstract

We consider the initial boundary value problem of a pseudo-parabolic equation with singular potential and the exponent $p(x,t)$ depending on both spatial and temporal variables. We prove the finite time blow up and estimate the upper and lower bounds of the blow up time.

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Nguyen Thanh Tung, Le Xuan Truong, Tan Duc Do, Nguyen Ngoc Trong. 2025-06-04. Blow up of solutions for pseudo-parabolic equation with singular potential and variable exponents. https://arxiv.org/abs/2506.04498

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