Large-time behavior for the solution to the generalized Benjamin–Bona–Mahony–Burgers equation with large initial data in the whole-space

Wang, Weike; Zhang, Dandan

doi:10.1016/j.jmaa.2013.09.033

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P Bound Estimate Of Solutions1

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Cited by 6 publications

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“…We now estimate u L ∞ . Unlike the method in [20], the energy method is not enough. However, using the variable substitution and Green's function method, we can first obtain the bounded estimate of u H 2 and then apply the embedding theorem to get the L ∞ bounded estimate.…”

Section: P Bound Estimate Of Solutionsmentioning

confidence: 99%

Pointwise estimates of solutions to conservation laws with nonlocal dissipation-type terms

Li,

Wang,

Wang

2020

ejde

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This article concerns the Cauchy problem of conservation laws with nonlocal dissipation-type terms in R^3. By using Green's function and the time-frequency decomposition method, we study global classical solutions and their long time behavior including pointwise estimates for large initial data, for solutions near the nontrivial equilibrium state. For more information see https://ejde.math.txstate.edu/Volumes/2020/129/abstr.html

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Section: P Bound Estimate Of Solutionsmentioning

confidence: 99%