A unifying perspective on linear continuum equations prevalent in science. Part IV: Canonical forms for equations involving higher order gradients
arXiv:2006.03161
Abstract
Enlarging on Parts I, II, and III we write more equations in the desired format of the extended abstract theory of composites. We focus on a multitude of equations involving higher order derivatives. The motivation is that results and methods in the theory of composites then extend to these equations.
17 pages, 3 figures
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- A unifying perspective on linear continuum equations prevalent in science. Part I: Canonical forms for static, steady, and quasistatic equations
- A unifying perspective on linear continuum equations prevalent in science. Part III: Canonical forms for dynamic equations with moduli that may, or may not, vary with time
- A unifying perspective on linear continuum equations prevalent in science. Part II: Canonical forms for time-harmonic equations
- A unifying perspective on linear continuum equations prevalent in physics. Part V: resolvents; bounds on their spectrum; and their Stieltjes integral representations when the operator is not selfadjoint