ABSTRACT

A partial differential equation (PDE) is an equation of a function of several variables and its partial derivatives. The partial derivatives of a scalar valued function u : ℝn → ℝ are often abbreviated as u x i = ∂ u ∂ x i ,   u x i x j = ∂ 2 u ∂ x i ∂ x j ,   … https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315370217/379fdee0-f6da-47eb-84a6-8ddc64039f18/content/eq1093.tif"/>