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Petrovsky's work was generalized and updated by Atiyah, Bott, and GĂ„rding (
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186:(1973), "Lacunas for hyperbolic differential operators with constant coefficients. II",
134:(1970), "Lacunas for hyperbolic differential operators with constant coefficients. I",
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89:"Hyperbolic differential equations and algebraic geometry (after Petrowsky)"
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232:"On the diffusion of waves and the lacunas for hyperbolic equations"
20:
Petrovsky lacunas are similar to the spaces between
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236:Recueil Mathématique (Matematicheskii Sbornik)
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269:Hyperbolic partial differential equations
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53:hyperbolic partial differential equation
15:
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43:, named for the Russian mathematician
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63:conditions for their existence.
55:vanishes. They were studied by
100:Société Mathématique de France
1:
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7:
10:
290:
31:
238:, 17 (59) (3): 289â368,
47:, is a region where the
176:Atiyah, Michael Francis
124:Atiyah, Michael Francis
85:Atiyah, Michael Francis
29:
19:
49:fundamental solution
32:For other uses, see
203:10.1007/BF02392039
151:10.1007/BF02394570
102:, pp. 87â99,
94:SĂ©minaire Bourbaki
39:In mathematics, a
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281:
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189:Acta Mathematica
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137:Acta Mathematica
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57:Petrovsky (1945)
41:Petrovsky lacuna
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228:Petrovsky, I.G.
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45:I. G. Petrovsky
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132:GĂ„rding, Lars
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87:(1966â1968),
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51:of a linear
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274:Shock waves
196:: 145â206,
180:Bott, Raoul
144:: 109â189,
128:Bott, Raoul
61:topological
22:shock waves
263:Categories
252:0061.21309
220:0266.35045
168:0191.11203
116:0201.12501
78:References
59:who found
26:supersonic
98:, Paris:
96:, Vol. 10
230:(1945),
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212:0470500
160:0470499
108:1610456
28:object.
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34:Lacuna
24:of a
72:1973
68:1970
248:Zbl
216:Zbl
198:doi
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164:Zbl
146:doi
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112:Zbl
74:).
265::
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104:MR
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36:.
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