An existence criterion for -norms of higher-order derivatives of solutions to a homogeneous parabolic equation.
Akhmetov, D.R. (2000)
Siberian Mathematical Journal
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Akhmetov, D.R. (2000)
Siberian Mathematical Journal
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Alekseeva, O. A., Kondrat'ev, A. S. (2003)
Sibirskij Matematicheskij Zhurnal
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Kirejtov, V.R. (2001)
Sibirskij Matematicheskij Zhurnal
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Kanas, S. (2005)
Acta Mathematica Universitatis Comenianae. New Series
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Konovalov, A.N. (2002)
Sibirskij Matematicheskij Zhurnal
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Marcin Mazur, Stephen V. Ullom (2008)
Journal de Théorie des Nombres de Bordeaux
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We investigate as Galois module the unit group of biquadratic extensions of number fields. The -rank of the first cohomology group of units of is computed for general . For imaginary quadratic we determine a large portion of the cases (including all unramified ) where the index takes its maximum value , where are units mod torsion of and are units mod torsion of one of the 3 quadratic subfields of .
Bahk, Sarah Y., Dyakevich, Nadejda E., Johnson, Stefan C. (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Yılmaz Özgür, Nihal, Cangül, İ. Naci (2004)
Beiträge zur Algebra und Geometrie
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Umeda, Tomio (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Shibata, Tetsutaro (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Angelo Favini, Rabah Labbas, Keddour Lemrabet, Stéphane Maingot (2005)
Revista Matemática Complutense
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Spradlin, Gregory S. (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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