Spectral asymptotics for negative fractional powers of hypoelliptic operators on graded Lie groups generalize Birman-Solomyak and imply a version of Connes' integration formula.
Amann.Linear and quasilinear parabolic problems
2 Pith papers cite this work. Polarity classification is still indexing.
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The work establishes continuous Fréchet differentiability of the switching-point-to-control map for abstract semilinear parabolic equations and characterizes the convex hull of feasible switching functions via an extended formulation.
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Weyl asymptotic formulas in the nilpotent Lie group setting
Spectral asymptotics for negative fractional powers of hypoelliptic operators on graded Lie groups generalize Birman-Solomyak and imply a version of Connes' integration formula.
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Switching Point Optimization for Abstract Parabolic Equations
The work establishes continuous Fréchet differentiability of the switching-point-to-control map for abstract semilinear parabolic equations and characterizes the convex hull of feasible switching functions via an extended formulation.