2023 academic year

No. 3

Date: December 8 (Fri) 16:30 - 17:30

Place: Online (Microsoft Teams)

Speaker: Kunio Ichinobe (Aichi University of Education)

Title: k-summability of the formal solution of inhomogeneous non-Kowalevskian equations

Abstract:

    We consider the Cauchy problem for inhomogeneous non-Kowalevskian partial differential equations, where the inhomogeneous term is a formal power series with respect to t. We show that a necessary and sufficient condition for the summable formal solution is given by the property of the summability of the inhomogeneous term and a global exponential growth condition with respect to x for its sum. Moreover, the integral representation with a kernel function of the sum of the formal solution is given.

No. 2

Date: November 10 (Fri) 16:30 - 17:30

Place: B707, Fac. Sci., Hiroshima University (Face-to-Face)

Speaker: Takahiro Inayama (Tokyo University of Science)

Title: From the L^2-extension theorem to subharmonicity, plurisubharmonicity and pluriharmonicity

No. 1

Date: July 7 (Fri) 16:30 - 17:30

Place: Hybrid (Face-to-Face / Online seminar by using Microsoft Teams)

Speaker: Tomoya Tagawa (University of Tokyo)

Title: A Rellich type theorem for the generalized oscillator

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