A necessary and sufficient condition for the hyperbolicity of second order equations with two independent variables
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Publication:801480
DOI10.1215/KJM/1250521387zbMath0552.35049OpenAlexW1583022050MaRDI QIDQ801480
Publication date: 1984
Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/kjm/1250521387
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Well posedness in \(C^ \infty\) for a weakly hyperbolic second order equation ⋮ A class of locally solvable semilinear equations of weakly hyperbolic type ⋮ Some results of Gevrey and analytic regularity for semilinear weakly hyperbolic equations of Oleinik type ⋮ Finite-time degeneration of hyperbolicity without blowup for quasilinear wave equations ⋮ Analytic regularity for a class of semi-linear weakly hyperbolic equations of second order ⋮ Some well-posed Cauchy problem for second order hyperbolic equations with two independent variables ⋮ On the Cauchy problem for \(D_t^{2}-D_xa(t, x)^n D_x\) ⋮ On the Cauchy problem for hyperbolic operators of second order whose coefficients depend only on the time variable ⋮ Some results on the well-posedness for second order linear equations ⋮ Well posedness in the C∞ class for utt=a(u)Δu
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