Blow-up of solutions of semilinear hyperbolic equations in one space dimension (Q2759776)

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scientific article; zbMATH DE number 1683742
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Blow-up of solutions of semilinear hyperbolic equations in one space dimension
scientific article; zbMATH DE number 1683742

    Statements

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    17 August 2002
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    exponential nonlinearity
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    blow-up curve
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    mixed problem
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    blow-up set
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    Blow-up of solutions of semilinear hyperbolic equations in one space dimension (English)
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    This paper briefly summarizes earlier results on the blow-up set for semilinear wave equations in one space dimension and announces the author's results on the case of exponential nonlinearities with boundary conditions [cf. Calc. Var. Partial Differ. Equ. 13, 69-95 (2001; Zbl 1006.35066) and Ann. Inst. Henri Poincaré, Anal. Non Linéaire 17, No. 6, 779-815 (2000; Zbl 0977.35088)].NEWLINENEWLINEFor the entire collection see [Zbl 0969.00056].
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