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Rate of convergence for one-dimensional quasilinear parabolic problem and its applications |
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| Authors: | Seonghak Kim |
| Institution: | Department of Mathematics, Kyungpook National University, Daegu 41566, Republic of Korea |
| Abstract: | Based on a comparison principle, we derive an exponential rate of convergence for solutions to the initial–boundary value problem for a class of quasilinear parabolic equations in one space dimension. We then apply the result to some models in population dynamics and image processing. |
| Keywords: | primary 35K59 35B35 secondary 35K20 35B50 35B51 Quasilinear parabolic equations Exponential rate of convergence Maximum principle Comparison principle Aggregation in population dynamics Perona–Malik model |
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