An Elementary Approach to Local Solvability for Constant Coefficient Partial Differential Equations.
David Jerison (1990)
Forum mathematicum
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David Jerison (1990)
Forum mathematicum
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G. Bassanelli, Lucia Alessandrini (1993)
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J. Matkowski (1970)
Annales Polonici Mathematici
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J. Matkowski (1971)
Annales Polonici Mathematici
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Giovanni Bassanelli (1994)
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A. YGER, R. Gay, Carlos A. Berenstein (1989)
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Hideshi Yamane (2012)
Banach Center Publications
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We study the lifespan of solutions to fully nonlinear second-order Cauchy problems with small real- or complex-analytic data. The nonlinear term is an analytic function in u, ū and their derivatives. We give an outline of the proof based on the method of majorants and the fixed point technique.
D. Burghelea, A. Verona (1972)
Manuscripta mathematica
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Michael A. Buchner, W. Kucharz (1987)
Mathematische Zeitschrift
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J. Matkowski (1972)
Annales Polonici Mathematici
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Jörg Eschmeier (1982)
Inventiones mathematicae
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Teresa Bermúdez, Manuel González (1998)
Extracta Mathematicae
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Hamedou Diakite (2009)
Annales Polonici Mathematici
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Given global semianalytic sets A and B, we define a minimal analytic set N such that Ā∖N and B̅∖N can be separated by an analytic function. Our statement is very similar to the one proved by Bröcker for semialgebraic sets.
Christopher Skinner (2006)
Acta Arithmetica
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