Carleman estimates for third order operators of KdV and non KdV-type and applications

KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Linear higher-order PDEs (35G05)

Cites Work

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A model of solvable second order PDE with non-smooth coefficients
On uniqueness properties of solutions of the $k$-generalized KdV equations
Strichartz estimates and local smoothing estimates for asymptotically flat Schrödinger equations
Hardy's uncertainty principle, convexity and Schrödinger evolutions
Convexity properties of solutions to the free Schrödinger equation with Gaussian decay
Local solvability of second order differential operators on nilpotent Lie groups
Hypoelliptic differential operators and nilpotent groups
On the unique continuation of solutions to the generalized KdV equation
Zufällige Bewegungen. (Zur Theorie der Brownschen Bewegung.)
A note on the unique continuation property for Zakharov--Kuznetsov equation
Smoothing effect for time-degenerate Schrödinger operators
Unique continuation properties for one dimensional higher order Schrödinger equations
Sharp Strichartz estimates for some variable coefficient Schrödinger operators on $\mathbb{R}\times\mathbb{T}^2 $
Sufficient conditions for local solvability of some degenerate pdo with complex subprincipal symbol
Uniqueness properties of solutions of Schrödinger equations
The resolution of the Nirenberg-Treves conjecture
Hypoelliptic second order differential equations
Variable coefficient Schrödinger flows for ultrahyperbolic operators
Local solvability of some partial differential operators with non-smooth coefficients
Carleman type inequalities for fractional relativistic operators
Local solvability of a class of degenerate second order operators
STRICHARTZ ESTIMATES FOR A SCHRÖDINGER OPERATOR WITH NONSMOOTH COEFFICIENTS
On the Solvability of a Class of Second Order Degenerate Operators
Local Smoothing and Local Solvability for Third Order Dispersive Equations
Unique Continuation for the Korteweg–de Vries Equation
Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
On local solvability for complex coefficient differential operators on the Heisenberg group
On the local solvability of a class of degenerate second order operators with complex coefficients
Carleman Inequalities
Remarks on the cauchy problem for schrödinger-type equations
On the unique continuation of solutions to non-local non-linear dispersive equations
Local Solvability of a Class of Degenerate Second Order Operators
Unique continuation principle for high order equations of Korteweg-de Vries type
Strichartz estimates for Schrödinger equations with variable coefficients
Sharp Hardy uncertainty principle and gaussian profiles of covariant Schrödinger evolutions
On local solvability of linear partial differential equations
Uniqueness results for Zakharov-Kuznetsov equation
KdV-type equations in projective Gevrey spaces
Smoothing and Strichartz estimates for degenerate Schrödinger-type equations
On some variable coefficient Schrödinger operators on $\mathbb{R}\times\mathbb{R}^n$ and $\mathbb{R}\times\mathbb{T}^2$
On the uniqueness of variable coefficient Schrödinger equations

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