ΓΕΝΙΚΟ ΣΕΜΙΝΑΡΙΟ

Ημερομηνία: Πέμπτη 11/06/2026

Ώρα: 13:00 - 14:00

Αίθουσα: Γ31

Ομιλητής: Κωνσταντίνος Καλημέρης (Ακαδημία Αθηνών)
(https://academyofathens.gr/en/personel/konstantinos-kalimeris)

Title: Evolution Equations: A new perspective on direct and inverse problems

Abstract: We consider initial-boundary value problems (IBVPs) for linear
evolution partial differential equations (PDEs) with time-dependent
coefficients. We present integral representations of solutions for a broad
class of such problems, derived through extensions of the unified
transform (UT) method. Using these representations, we investigate the
well-posedness of the associated IBVPs for certain linear and nonlinear
PDEs. Moreover, we show that, for a particular class of evolution PDEs,
the solution of an IBVP posed on a finite interval can be reconstructed as
a superposition of solutions to two associated IBVPs posed on the
half-line. This result provides a fundamentally new perspective for the
analysis of this broad class of problems. Finally, we formulate the
inverse problem characterizing the controllability of such systems and
develop a hybrid approach for determining the corresponding controller,
with applications to physical problems arising in agriculture.
This is joint work with T. Ozsari, D. Mantzavinos and L. Mindrinos.

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