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- W2887029206 abstract "We will prove the generalized Hyers-Ulam stability of the (inhomogeneous) diffusion equation with a source, <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:msub><mml:mrow><mml:mi>u</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo stretchy=false>(</mml:mo><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy=false>)</mml:mo><mml:mo>-</mml:mo><mml:mi>k</mml:mi><mml:mo>△</mml:mo><mml:mi>u</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy=false>)</mml:mo><mml:mo>=</mml:mo><mml:mi>f</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math>, for a class of scalar functions with continuous second partial derivatives." @default.
- W2887029206 created "2018-08-22" @default.
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- W2887029206 date "2018-08-01" @default.
- W2887029206 modified "2023-10-16" @default.
- W2887029206 title "Stability of the Diffusion Equation with a Source" @default.
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- W2887029206 doi "https://doi.org/10.1155/2018/1216901" @default.
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