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CRITICAL SETS OF SOLUTIONS TO ELLIPTIC EQUATIONS
"... P bjDju = 0 that the critical set jruj,1 f0g has locally Let u 6 const satisfy an elliptic equation L0u P aijDiju + with smooth coefficients in a domain in R n. It is shown finite n, 2 dimensional Hausdorff measure. This implies in particular that for a solution u 6 0 of (L 0 + c)u =0,with c 2 C 1 ..."
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Cited by 69 (2 self)
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P bjDju = 0 that the critical set jruj,1 f0g has locally Let u 6 const satisfy an elliptic equation L0u P aijDiju + with smooth coefficients in a domain in R n. It is shown finite n, 2 dimensional Hausdorff measure. This implies in particular that for a solution u 6 0 of (L 0 + c)u =0,with c 2 C 1, the singular set u,1 f0g \jruj,1 f0g has locally finite n  2 dimensional Hausdorff measure.
On Köthe sequence spaces and linear logic
 Mathematical Structures in Computer Science
, 2001
"... We present a category of locally convex topological vector spaces which is a model of propositional classical linear logic, based on the standard concept of Kothe sequence spaces. In this setting, the spaces interpreting the exponential have a quite simple structure of commutative Hopf algebra. The ..."
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Cited by 42 (12 self)
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We present a category of locally convex topological vector spaces which is a model of propositional classical linear logic, based on the standard concept of Kothe sequence spaces. In this setting, the spaces interpreting the exponential have a quite simple structure of commutative Hopf algebra. The coKleisli category of this linear category is a cartesian closed category of entire mappings. This work provides a simple setting where typed calculus and dierential calculus can be combined; we give a few examples of computations. 1
Some Calculus With Extensive Quantities: Wave Equation
, 2003
"... We take some first steps in providing a synthetic theory of distributions. In particular, we are interested in the use of distribution theory as foundation, not just as tool, in the study of the wave equation. 1. ..."
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Cited by 2 (2 self)
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We take some first steps in providing a synthetic theory of distributions. In particular, we are interested in the use of distribution theory as foundation, not just as tool, in the study of the wave equation. 1.