Existence, uniqueness and regularity of the solution of the first boundary-initial value problem for the equations of linear thermo- microelasticity
Existence, uniqueness and regularity theorems for an initial-boundary value problem of linear homogeneous isotropic micropolar thermoelasticity are proved by using a method of Faedo-Galerkin type. A weak solution to the problem is shown to exist in a Sobolev space provided the data belong to suitable functional spaces. To show existence of a classical solution using an embedding theorem, rather stringent conditions on the data are imposed. The reviewer notes a number of misprints: e.g. 1. Two of the eight inequalities involving material constants on page 448 are superfluous. 2. In the definition (2.9) \(t\in X\) should read \(t\in I\).
linear homogeneous isotropic micropolar thermoelasticity
scientific article; zbMATH DE number 4007784