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Ordinary or partial differential equations. Delay differential equations, neutral equations, integro-differential equations. Well-posedness, asymptotic behavior, and related questions.

1 vote

second order operator with real coefficients and not locally solvable

The following example is an second order differential operator with real coefficients defined on $\mathbb{R}^{3}$ which is not solvable about origin: $Pu=(x_{2}^{2}-x_{3}^{2})D_{1}^{2}u+(1+x_{1}^{2}) …
Uday's user avatar
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4 votes
2 answers
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second order operator with real coefficients and not locally solvable

This question is a follow up of the following answer I posted recently: Counterexamples in PDE Is there a second order partial differential operator with real coefficients which are not solvable in …
Uday's user avatar
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