Global existence and blow-up of solutions to porous medium equation and pseudo-parabolic equation, I. Stratified Groups
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| Format: | Preprint |
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2021
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| _version_ | 1866914670680473600 |
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| author | Ruzhansky, Michael Sabitbek, Bolys Torebek, Berikbol |
| author_facet | Ruzhansky, Michael Sabitbek, Bolys Torebek, Berikbol |
| contents | In this paper, we prove a global existence and blow-up of the positive solutions to the initial-boundary value problem of the nonlinear porous medium equation and the nonlinear pseudo-parabolic equation on the stratified Lie groups. Our proof is based on the concavity argument and the Poincaré inequality, established in [38] for stratified groups. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2106_00406 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Global existence and blow-up of solutions to porous medium equation and pseudo-parabolic equation, I. Stratified Groups Ruzhansky, Michael Sabitbek, Bolys Torebek, Berikbol Analysis of PDEs 35K92, 35B44, 35A01 In this paper, we prove a global existence and blow-up of the positive solutions to the initial-boundary value problem of the nonlinear porous medium equation and the nonlinear pseudo-parabolic equation on the stratified Lie groups. Our proof is based on the concavity argument and the Poincaré inequality, established in [38] for stratified groups. |
| title | Global existence and blow-up of solutions to porous medium equation and pseudo-parabolic equation, I. Stratified Groups |
| topic | Analysis of PDEs 35K92, 35B44, 35A01 |
| url | https://arxiv.org/abs/2106.00406 |