On the uniqueness of the Cauchy problem for partial differential operators with multiple characteristics

Marvin Zeman

Displaying similar documents to “On the uniqueness of the Cauchy problem for partial differential operators with multiple characteristics”

A note of uniqueness on the Cauchy problem for Schrödinger or heat equations with degenerate elliptic principal parts

Hideki Takuwa (2004)

Bollettino dell'Unione Matematica Italiana

Similarity:

We study the local uniqueness in the Cauchy problem for Schrödinger or heat equations whose principal parts are nonnegative. We show the compact uniqueness under a weak form of pseudo convexity. This makes up for the known results under the conormal pseudo convexity given by Tataru, Hörmander, Robbiano- Zuily and L. T'Joen. Our method is based on a kind of integral transform and a weak form of Carleman estimate for degenerate elliptic operators.

$L^{P}$ -uniqueness for infinite dimensional symmetric Kolmogorov operators : the case of variable diffusion coefficients

Vitali Liskevich, Michael Röckner, Zeev Sobol, Oleksiy Us (2001)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity:

Necessary and sufficient conditions for the well posedness of the Cauchy problem for a class of hyperbolic operators with high variable multiplicity

V. Sordoni (1992)

Rendiconti del Seminario Matematico della Università di Padova

Similarity:

Cauchy problem for some semilinear evolution equations

Rossella Agliardi (2003)

Mathematica Slovaca

Similarity:

On the dominance of partial differential operators II

Martin Schechter (1964)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity:

Displaying similar documents to “On the uniqueness of the Cauchy problem for partial differential operators with multiple characteristics”

A note of uniqueness on the Cauchy problem for Schrödinger or heat equations with degenerate elliptic principal parts

L P -uniqueness for infinite dimensional symmetric Kolmogorov operators : the case of variable diffusion coefficients

Necessary and sufficient conditions for the well posedness of the Cauchy problem for a class of hyperbolic operators with high variable multiplicity

Cauchy problem for some semilinear evolution equations

On the dominance of partial differential operators II

$L^{P}$ -uniqueness for infinite dimensional symmetric Kolmogorov operators : the case of variable diffusion coefficients