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(Un)stability and bordism groups in PDEs. (English) Zbl 1130.58014
The paper proposes a new interpretation of the concept of (un)stability in the framework of the geometric theory of PDEs by means of the theory of integral bordism groups. It gives a geometric criterion to identify stable solutions to PDEs.

MSC:
58J32Boundary value problems on manifolds
55N22Bordism and cobordism theories, formal goup laws
57R67Surgery obstructions, Wall groups
57R90Other types of cobordism
39A11Stability of difference equations (MSC2000)