On rigidity for the four-well problem arising in the cubic-to-trigonal phase transformation

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SUMMARY

    2εn Therefore, the convergence gives ∂3 for all x2 ∈ T2 and almost all x1 ∈ B. - E12 (x1 ))=K Consequently, varying x2 in_(29), the authors observe that ∂3 23 (., x3 ) ≡ const for x3 ∈ A, which implies ∂3 23 (x2, x3 )=q(x3 ) for almost all (x2, x3 ) ∈ T2 × A. In the second case, using the assumption, the decomposition of Lemma 4 reads ˆ + - e12 dx, e12=∂2 23 (x2 ) + ∂1 31 (x3, x1 ) e23= ∂3 ˆ + - e23 dx, 31 (x3, x1 ) e31= ∂1 ˆ - e31 dx. In the third case, the authors have ˆ + - e12 dx, e12 . . .

     

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