On boundaries of unions of sets with positive reach.

Rataj, J.

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Displaying similar documents to “On boundaries of unions of sets with positive reach.”

An abstract nonlinear second order differential equation

Jan Bochenek (1991)

Annales Polonici Mathematici

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By using the theory of strongly continuous cosine families of linear operators in Banach space the existence of solutions of a semilinear second order differential initial value problem (1) as well as the existence of solutions of the linear inhomogeneous problem corresponding to (1) are proved. The main result of the paper is contained in Theorem 5.

An abstract semilinear first order differential equation in the hyperbolic case

Jan Bochenek (1995)

Annales Polonici Mathematici

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Abstract superposition operators on mappings of bounded variation of two real variables. II.

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Abstract superposition operators on mappings of bounded variation of two real variables. I.

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The proof of the Nirenberg-Treves conjecture

Nils Dencker (2003)

Journées équations aux dérivées partielles

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We prove the Nirenberg-Treves conjecture : that for principal type pseudo-differential operators local solvability is equivalent to condition ( $Ψ$ ). This condition rules out certain sign changes of the imaginary part of the principal symbol along the bicharacteristics of the real part. We obtain local solvability by proving a localizable estimate for the adjoint operator with a loss of two derivatives (compared with the elliptic case). The proof involves a new metric in the Weyl (or Beals-Fefferman)...

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Elements of quasiconvex subdifferential calculus.

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