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(Very minor) Math Jaxing: surely not indispensable but perhaps useful
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edit approved Jan 4, 2020 at 8:37
Daniele Tampieri
edit approved Jan 4, 2020 at 8:37
Daniele Tampieri
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There are examples but you need singularities or unbounded coefficients; the uniformly parabolic case with regular coefficients is indeed a perturbation of the laplacian. In 1d1D, if you perturb the harmonic oscillator D^2-x^2$D^2-x^2$ by a linear drift bxD$bxD$, the angle of analyticity depends on b$b$.

There are examples but you need singularities or unbounded coefficients; the uniformly parabolic case with regular coefficients is indeed a perturbation of the laplacian. In 1d, if you perturb the harmonic oscillator D^2-x^2 by a linear drift bxD, the angle of analyticity depends on b.

There are examples but you need singularities or unbounded coefficients; the uniformly parabolic case with regular coefficients is indeed a perturbation of the laplacian. In 1D, if you perturb the harmonic oscillator $D^2-x^2$ by a linear drift $bxD$, the angle of analyticity depends on $b$.

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Giorgio Metafune
Giorgio Metafune
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There are examples but you need singularities or unbounded coefficients; the uniformly parabolic case with regular coefficients is indeed a perturbation of the laplacian. In 1d, if you perturb the harmonic oscillator D^2-x^2 by a linear drift bxD, the angle of analyticity depends on b.