On the Stability of Heat Equation

Balázs Hegyi; Soon-Mo Jung

doi:10.1155/2013/202373

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Home > Journals > Abstr. Appl. Anal. > Volume 2013 > Issue SI58 > Article

2013 On the Stability of Heat Equation

Balázs Hegyi, Soon-Mo Jung

Abstr. Appl. Anal. 2013(SI58): 1-4 (2013). DOI: 10.1155/2013/202373

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Abstract

We prove the generalized Hyers-Ulam stability of the heat equation, $\mathrm{\Delta }u={u}_{t}$ , in a class of twice continuously differentiable functions under certain conditions.