On weak solutions of the initial value problem for the equation \(u_{tt}=a(x,t)u_{xx}+f(t,x,u,u_t,u_x)\) (Q1934994)

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scientific article; zbMATH DE number 6132806
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English
On weak solutions of the initial value problem for the equation \(u_{tt}=a(x,t)u_{xx}+f(t,x,u,u_t,u_x)\)
scientific article; zbMATH DE number 6132806

    Statements

    On weak solutions of the initial value problem for the equation \(u_{tt}=a(x,t)u_{xx}+f(t,x,u,u_t,u_x)\) (English)
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    30 January 2013
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    local well-posedness
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    strict hyperbolicity
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    global solution
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    non-autonomous equation
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    one space dimension
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