# zbMATH — the first resource for mathematics

## Korten, Marianne Kathe

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 Author ID: korten.marianne-kathe Published as: Korten, Marianne K.; Korten, M. K.; Korten, Marianne; Korten, Marianne Kathe External Links: MGP
 Documents Indexed: 18 Publications since 1989, including 1 Book Reviewing Activity: 25 Reviews
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#### Co-Authors

 9 single-authored 6 Moore, Charles Nelson 2 Blank, Ivan A. 1 Andreucci, Daniele 1 Bouillet, Julio E. 1 Danielli, Donatella 1 Gavosto, Estela Ana 1 Márquez, Viviana 1 Torres, Rodolfo H.
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#### Serials

 2 Revista de la Unión Matemática Argentina 2 Communications in Applied Analysis 2 Communications on Pure and Applied Analysis 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 Communications in Analysis and Geometry 1 Contemporary Mathematics 1 Cuadernos del Instituto de Matematica “Beppo Levi” 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Fields

 17 Partial differential equations (35-XX) 8 Classical thermodynamics, heat transfer (80-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX)

#### Citations contained in zbMATH Open

6 Publications have been cited 12 times in 7 Documents Cited by Year
Singular limits and the “Mesa” problem. Zbl 0931.35197
Bouillet, J. E.; Korten, M. K.; Márquez, V.
1998
The Hele-Shaw problem as a “Mesa” limit of Stefan problems: existence, uniqueness, and regularity of the free boundary. Zbl 1162.76018
Blank, Ivan A.; Korten, Marianne K.; Moore, Charles N.
2009
Regularity for solutions of the two-phase Stefan problem. Zbl 1144.35421
Korten, Marianne K.; Moore, Charles N.
2008
Initial traces of solutions to a one-phase Stefan problem in an infinite strip. Zbl 0789.35186
Andreucci, D.; Korten, M. K.
1993
Nonnegative solutions of $$u_ t= \Delta (u-1)_ +$$: Regularity and uniqueness for the Cauchy problem. Zbl 0861.35034
Korten, Marianne K.
1996
On the pointwise jump condition at the free boundary in the 1-phase Stefan problem. Zbl 1086.35149
Danielli, Donatella; Korten, Marianne
2005
The Hele-Shaw problem as a “Mesa” limit of Stefan problems: existence, uniqueness, and regularity of the free boundary. Zbl 1162.76018
Blank, Ivan A.; Korten, Marianne K.; Moore, Charles N.
2009
Regularity for solutions of the two-phase Stefan problem. Zbl 1144.35421
Korten, Marianne K.; Moore, Charles N.
2008
On the pointwise jump condition at the free boundary in the 1-phase Stefan problem. Zbl 1086.35149
Danielli, Donatella; Korten, Marianne
2005
Singular limits and the “Mesa” problem. Zbl 0931.35197
Bouillet, J. E.; Korten, M. K.; Márquez, V.
1998
Nonnegative solutions of $$u_ t= \Delta (u-1)_ +$$: Regularity and uniqueness for the Cauchy problem. Zbl 0861.35034
Korten, Marianne K.
1996
Initial traces of solutions to a one-phase Stefan problem in an infinite strip. Zbl 0789.35186
Andreucci, D.; Korten, M. K.
1993
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#### Cited by 13 Authors

 2 Blank, Ivan A. 2 Korten, Marianne Kathe 2 Quirós Gracián, Fernando 2 Vazquez, Juan Luis 1 Alonso Rodríguez, Ana 1 Gibson, Nathan L. 1 Gil, Omar 1 Hao, Zheng 1 Moore, Charles Nelson 1 Patricia Medina, F. 1 Perthame, Benoît 1 Peszyńska, Małgorzata 1 Showalter, Ralph E.
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#### Cited in 7 Serials

 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Analysis and Applications 1 Journal of Differential Equations 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Transactions of the American Mathematical Society 1 Calculus of Variations and Partial Differential Equations 1 Nonlinear Analysis. Theory, Methods & Applications

#### Cited in 5 Fields

 7 Partial differential equations (35-XX) 2 Fluid mechanics (76-XX) 1 Operator theory (47-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX)