Blow up of solutions for pseudo-parabolic equation with singular potential and variable exponents
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918248592703488 |
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| author | Tung, Nguyen Thanh Truong, Le Xuan Do, Tan Duc Trong, Nguyen Ngoc |
| author_facet | Tung, Nguyen Thanh Truong, Le Xuan Do, Tan Duc Trong, Nguyen Ngoc |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_04498 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Blow up of solutions for pseudo-parabolic equation with singular potential and variable exponents Tung, Nguyen Thanh Truong, Le Xuan Do, Tan Duc Trong, Nguyen Ngoc Analysis of PDEs 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. |
| title | Blow up of solutions for pseudo-parabolic equation with singular potential and variable exponents |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2506.04498 |