Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups
ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
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An Epsilon‐Near‐Zero‐Based Nonlinear Platform for Ultrafast Re‐Writable Holography
We show that an unstructured, sub‐wavelength thick epsilon‐near‐zero material, such as ITO, can be efficiently used for ultrafast re‐writable holography over a broad bandwidth range. We showcase two powerful applications of our scheme, that is, spatial structuring of light and optical computation.
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NONLOCAL SYMMETRIES AND NONLOCAL RECURSION OPERATORS
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