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Stability of
traveling waves for doubly nonlinear equations
Christian Seis and Dominik Winkler |
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Vol. 8 (2026), No. 1, 157–170
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Abstract |
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We investigate a doubly nonlinear diffusion equation in the slow diffusion regime. We prove stability of the pressure of solutions that are close to traveling wave solutions in a homogeneous Lipschitz sense. We derive regularity estimates for arbitrary derivatives of the solution’s pressure by extending existing results for the porous medium equation; see Kienzler (2016). |
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Keywords
doubly nonlinear parabolic equation, nonlinear diffusion,
flat fronts, stability, traveling wave
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Mathematical Subject Classification
Primary: 35B35, 35C07, 35K15, 35K91
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Milestones
Received: 27 February 2025
Revised: 15 April 2025
Accepted: 1 May 2025
Published: 14 February 2026
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Authors |
| Christian Seis | |
| Institut für Analysis und
Numerik Universität Münster Münster Germany |
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| Dominik Winkler | |
| Institut für Analysis und
Numerik Universität Münster Münster Germany |
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| © 2026 MSP (Mathematical Sciences Publishers). |
