A Liouville comparison principle for solutions of semilinear parabolic inequalities in the whole space
We obtain a new Liouville comparison principle for weak solutions (u,v) of semilinear parabolic second-order partial differential inequalities of the form ut-ℒu-|u|q-1u≥vt-ℒv-|v|q-1v(*)$u_t -{\mathcal {L}}u- |u|^{q-1}u\ge v_t -{\mathcal {L}}v- |v|^{q-1}v\qquad (*)$ in the whole space ℝ×ℝn${{\mathbb...
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| Format: | Article |
| Language: | English |
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De Gruyter
2014-05-01
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| Series: | Advances in Nonlinear Analysis |
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| Online Access: | https://doi.org/10.1515/anona-2014-0011 |