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- Lewys_example abstract "In the mathematical study of partial differential equations, Lewy's example is a celebrated example, due to Hans Lewy, of a linear partial differential equation with no solutions. It shows that the analog of the Cauchy–Kovalevskaya theorem does not hold in the smooth category.The original example is not explicit, since it employs the Hahn–Banach theorem, but there since have been various explicit examples of the same nature found by Harold Jacobowitz.The Malgrange–Ehrenpreis theorem states (roughly) that linear partial differential equations with constant coefficients always have at least one solution; Lewy's example shows that this result cannot be extended to linear partial differential equations with polynomial coefficients.".
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- Lewys_example wikiPageWikiLink Annals_of_Mathematics.
- Lewys_example wikiPageWikiLink Baire_category.
- Lewys_example wikiPageWikiLink Baire_space.
- Lewys_example wikiPageWikiLink CR_manifold.
- Lewys_example wikiPageWikiLink Category:Partial_differential_equations.
- Lewys_example wikiPageWikiLink Cauchy–Kovalevskaya_theorem.
- Lewys_example wikiPageWikiLink Cauchy–Kowalevski_theorem.
- Lewys_example wikiPageWikiLink Chain_complex.
- Lewys_example wikiPageWikiLink Closed_and_exact_differential_forms.
- Lewys_example wikiPageWikiLink Complex_manifold.
- Lewys_example wikiPageWikiLink Constant_coefficient.
- Lewys_example wikiPageWikiLink Dolbeault_cohomology.
- Lewys_example wikiPageWikiLink Dolbeault_complex.
- Lewys_example wikiPageWikiLink Hahn–Banach_theorem.
- Lewys_example wikiPageWikiLink Hans_Lewy.
- Lewys_example wikiPageWikiLink Harold_Jacobowitz.
- Lewys_example wikiPageWikiLink Malgrange–Ehrenpreis_theorem.
- Lewys_example wikiPageWikiLink Mathematics.
- Lewys_example wikiPageWikiLink Ordinary_differential_equation.
- Lewys_example wikiPageWikiLink Partial_differential_equation.
- Lewys_example wikiPageWikiLink Poincaré_lemma.
- Lewys_example wikiPageWikiLink Sheaf_(mathematics).
- Lewys_example wikiPageWikiLink Smooth_function.
- Lewys_example wikiPageWikiLink Smoothness.
- Lewys_example wikiPageWikiLinkText "Lewy (1957)".
- Lewys_example wikiPageWikiLinkText "Lewy's example".
- Lewys_example first "Jean-Pierre".
- Lewys_example hasPhotoCollection Lewys_example.
- Lewys_example id "l/l120080".
- Lewys_example last "Rosay".
- Lewys_example title "Lewy operator and Mizohata operator".
- Lewys_example wikiPageUsesTemplate Template:Citation.
- Lewys_example wikiPageUsesTemplate Template:Harvtxt.
- Lewys_example wikiPageUsesTemplate Template:Springer.
- Lewys_example subject Category:Partial_differential_equations.
- Lewys_example hypernym Example.
- Lewys_example type Building.
- Lewys_example comment "In the mathematical study of partial differential equations, Lewy's example is a celebrated example, due to Hans Lewy, of a linear partial differential equation with no solutions.".
- Lewys_example label "Lewy's example".
- Lewys_example sameAs Beispiel_von_Lewy.
- Lewys_example sameAs m.0dnfjz.
- Lewys_example sameAs Q814880.
- Lewys_example sameAs Q814880.
- Lewys_example wasDerivedFrom Lewys_exampleoldid=636634436.
- Lewys_example isPrimaryTopicOf Lewys_example.