On \({(W_2^1(\mathbb R)\cap W_\infty^1(\mathbb R))}\)-solutions of the equation \({u_{tt}=(a(u)u_x)_x+f(x,t)}\) (Q401101)

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scientific article; zbMATH DE number 6334375
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English
On \({(W_2^1(\mathbb R)\cap W_\infty^1(\mathbb R))}\)-solutions of the equation \({u_{tt}=(a(u)u_x)_x+f(x,t)}\)
scientific article; zbMATH DE number 6334375

    Statements

    On \({(W_2^1(\mathbb R)\cap W_\infty^1(\mathbb R))}\)-solutions of the equation \({u_{tt}=(a(u)u_x)_x+f(x,t)}\) (English)
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    26 August 2014
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    quasi-linear wave equation
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    existence and uniqueness
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    interval of existence
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    life-time of the smooth solution
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    life-time of the weak solution
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