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Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups

Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 499-511, 30 January 2026.
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
Mokhtar Kirane +3 more
wiley +1 more source

Automatic Adaptive and Targeted Localized Refinement in Transient Structural Dynamic Simulations Using the Multiresolution Finite Wavelet Domain Method

International Journal for Numerical Methods in Engineering, Volume 127, Issue 1, 15 January 2026.
ABSTRACT The multiresolution finite wavelet domain method has been meticulously studied in numerous wave propagation simulations, showing excellent convergence properties and very fast computing times. The multiresolution procedure always starts with the coarse solution, and then finer solutions can be superimposed on the coarse solution until ...
Dimitris Dimitriou, Katerina Samara, Dimitris Saravanos +2 more
wiley +1 more source

A Bibliometric Analysis for Lebesgue Measure Integration in Optimization