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- Nash–Moser_theorem abstract "The Nash–Moser theorem, attributed to mathematicians John Forbes Nash and Jürgen Moser, is a generalization of the inverse function theorem on Banach spaces to a class of "tame" Fréchet spaces.In contrast to the Banach space case, in which the invertibility of the derivative at a point is sufficient for a map to be locally invertible, the Nash–Moser theorem requires the derivative to be invertible in a neighborhood. The theorem is widely used to prove local uniqueness for non-linear partial differential equations in spaces of smooth functions.While Nash (1956) originated the theorem as a step in his proof of the Nash embedding theorem, Moser (1966a, 1966b) showed that Nash's methods could be successfully applied to solve problems on periodic orbits in celestial mechanics.".
- Nash–Moser_theorem wikiPageID "2286045".
- Nash–Moser_theorem wikiPageRevisionID "590020792".
- Nash–Moser_theorem subject Category:Differential_equations.
- Nash–Moser_theorem subject Category:Inverse_functions.
- Nash–Moser_theorem subject Category:Theorems_in_functional_analysis.
- Nash–Moser_theorem subject Category:Topological_vector_spaces.
- Nash–Moser_theorem comment "The Nash–Moser theorem, attributed to mathematicians John Forbes Nash and Jürgen Moser, is a generalization of the inverse function theorem on Banach spaces to a class of "tame" Fréchet spaces.In contrast to the Banach space case, in which the invertibility of the derivative at a point is sufficient for a map to be locally invertible, the Nash–Moser theorem requires the derivative to be invertible in a neighborhood.".
- Nash–Moser_theorem label "Nash–Moser theorem".
- Nash–Moser_theorem sameAs Nash%E2%80%93Moser_theorem.
- Nash–Moser_theorem sameAs Q6967039.
- Nash–Moser_theorem sameAs Q6967039.
- Nash–Moser_theorem wasDerivedFrom Nash–Moser_theorem?oldid=590020792.