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- W1993399182 abstract "Let us consider the equation $$Lleft( {frac{partial }{{partial t}},frac{partial }{{partial {x_1}}}, ldots frac{partial }{{partial {x_n}}}} right)uleft( {t,x} right) = fleft( {t,x} right)$$(32.1), where (Lleft( {frac{partial }{{partial t}},frac{partial }{{partial {x_1}}}, ldots frac{partial }{{partial {x_n}}}} right)uleft( {t,x} right) = fleft( {t,x} right)) is a homogeneous polynomial of degree m and x = (x 1,..., x n ). It is called strictly hyperbolic if, for any ξ ≠ 0, the equation L(v ξ) = 0 has m distinct real roots v 1 ..., v m . Surface S : L(1, ξ) = 0 is known as the slowness surface. It consists of [m/2] non-overlapping ovals which enclose the origin. When m is odd, one more component, an unpaired part, is added [1]. A set Γ of points (t, x), such that the plane t + (x, ξ) = 0 is tangential to S, is called a characteristic cone and consists of [(m + 1)/2] sheets. The section of the cone by the plane t = 1 is known as the wave surface." @default.
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- W1993399182 date "2001-05-08" @default.
- W1993399182 modified "2023-09-27" @default.
- W1993399182 title "Kiss singularities of Green's functions of non–strictly hyperbolic equations" @default.
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- W1993399182 doi "https://doi.org/10.1098/rspa.2000.0706" @default.
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