A Well-Posed Logarithmic Counterpart of an Ill-Posed Cauchy Problem

Author:

Santos Lucas A.ORCID,Bezerra Flank D. M.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference21 articles.

1. Amann, H.: Linear and Quasilinear Parabolic Problems. Volume I: Abstract Linear Theory. Birkhäuser Verlag, Basel (1995)

2. Bezerra, F.D.M.: A second-order evolution equation and logarithmic operators. Bull. Braz. Math. Soc. New Ser. 53, 571–593 (2022)

3. Bezerra, F.D.M., Santos, L.A.: Fractional powers approach of operators for abstract evolution equations of third order in time. J. Differ. Equ. 269(7), 5661–5679 (2020)

4. Bezerra, F.D.M., Santos, L.A.: A semilinear problem governed by the logarithmic operator from strongly damped wave operator. Preprint (2021)

5. Birkhoff, G.D.: On the solutions of ordinary linear homogeneous differential equations of the third order. Ann. Math. 2, 103–127 (1910)

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