Integrability of det∇u and Evolutionary Wente’s Problem Associated to Heat Operator

Abstract

In this note, the authors resolve an evolutionary Wente’s problem associated to heat equation, where the special integrability of det∇u for u ∈ H ¹(ℝ²,ℝ²) is used.

Keywords

Jacobian determinant / Heat equation / Wente’s problem / 35K55 / 35K20 / 35K05

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