ABSTRACT
Consider the multiplicative heat equation for a function https://www.w3.org/1998/Math/MathML"> u ( x 1 , … , x n , t ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003440116/5c34fd59-3787-4510-b376-2cd023dd9bdb/content/math5_1.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> in an n-dimensional bounded domain https://www.w3.org/1998/Math/MathML"> D , https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003440116/5c34fd59-3787-4510-b376-2cd023dd9bdb/content/math5_2.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> https://www.w3.org/1998/Math/MathML"> u t ∗ = e k ⋅ ∗ Δ ∗ u , ( x 1 , … , x n ) ∈ D , t > 1 , https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003440116/5c34fd59-3787-4510-b376-2cd023dd9bdb/content/math5_3.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/>
