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- W2015637112 abstract "We investigate the Cauchy problem for the generalized damped Boussinesq equation. Under small condition on the initial value, we prove the global existence and optimal decay estimate of solutions for all space dimensions<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mrow><mml:mi>n</mml:mi><mml:mo>≥</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math>. Moreover, when<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mrow><mml:mi>n</mml:mi><mml:mo>≥</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math>, we show that the solution can be approximated by the linear solution as time tends to infinity." @default.
- W2015637112 created "2016-06-24" @default.
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- W2015637112 date "2013-01-01" @default.
- W2015637112 modified "2023-10-13" @default.
- W2015637112 title "Global Existence and Asymptotic Behavior of Solutions to the Generalized Damped Boussinesq Equation" @default.
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- W2015637112 doi "https://doi.org/10.1155/2013/364165" @default.
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