Nonanalytic solutions of the KdV equation.
Byers, Peter, Himonas, A.Alexandrou (2004)
Abstract and Applied Analysis
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Displaying similar documents to “A remark concerning the dependence on the initial data of the solution of the Cauchy problem for a linear equation with analytic coefficients”
Nonanalytic solutions of the KdV equation.
Counterexamples to Hölmgren's uniqueness for analytic non linear Cauchy problem.
G. Métivier (1993)
Inventiones mathematicae
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The Cauchy problem and Hadamard's example
Jan Persson (1976)
Journées équations aux dérivées partielles
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Michael Christ (1990)
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Antoni Augustynowicz (1999)
Annales Polonici Mathematici
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We prove an existence theorem of Cauchy-Kovalevskaya type for the equation where f is a polynomial with respect to the last k variables.
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J. Ligęza (1975)
Colloquium Mathematicae
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On the Cauchy problem for the equation of one-dimensional non-stationary filtration with non-continuous initial data
Tadeusz Śliwa (1981)
Colloquium Mathematicae
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Propagation of analyticity of solutions to the Cauchy problem for Kirchhoff type equations
Kunihiko Kajitani (2000)
Journées équations aux dérivées partielles
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We shall give the local in time existence of the solutions in Gevrey classes to the Cauchy problem for Kirhhoff equations of -laplacian type and investigate the propagation of analyticity of solutions for real analytic deta. When , his equation as the global real analytic solution for the real analytic initial data.
Nonlinear Cauchy problems with small analytic data and the lifespan of their solutions
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.
The Non Linear Cauchy Problem Of Operator Differential Equations
Marija Skendžić (1970)
Publications de l'Institut Mathématique
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On the uniqueness of initial-value problems for partial differential equations of the first order
P. Besala (1983)
Annales Polonici Mathematici
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An analytic characterization of the symmetric extension of a Herglotz-Nevanlinna function
Mitja Nedic (2023)
Czechoslovak Mathematical Journal
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We derive an analytic characterization of the symmetric extension of a Herglotz-Nevanlinna function. Here, the main tools used are the so-called variable non-dependence property and the symmetry formula satisfied by Herglotz-Nevanlinna and Cauchy-type functions. We also provide an extension of the Stieltjes inversion formula for Cauchy-type and quasi-Cauchy-type functions.
A Note on Formal and Analytic Cauchy Problems for Systems with Constant Coefficients.
Jan Persson (1964)
Mathematica Scandinavica
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