Cauchy problems for parabolic equations in Sobolev–Slobodeckii and Hölder spaces on uniformly regular Riemannian manifolds

Journal of Evolution Equations ◽

10.1007/s00028-016-0347-1 ◽

2016 ◽

Vol 17 (1) ◽

pp. 51-100 ◽

Author(s):

Herbert Amann

Keyword(s):

Riemannian Manifolds ◽

Parabolic Equations ◽

Cauchy Problems ◽

Hölder Spaces ◽

Uniformly Regular ◽

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On the Cauchy problem for stochastic parabolic equations in Hölder spaces

Transactions of the American Mathematical Society ◽

10.1090/tran/7533 ◽

2018 ◽

Vol 371 (4) ◽

pp. 2643-2664 ◽

Author(s):

Kai Du ◽

Jiakun Liu

Keyword(s):

Cauchy Problem ◽

Parabolic Equations ◽

Hölder Spaces ◽

The Cauchy Problem ◽

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Finding the coefficient multiplying the time derivative in quasilinear parabolic equations in Hölder spaces

Differential Equations ◽

10.1134/s0012266112120026 ◽

2012 ◽

Vol 48 (12) ◽

pp. 1563-1571

Author(s):

N. L. Gol’dman

Keyword(s):

Parabolic Equations ◽

Time Derivative ◽

Quasilinear Parabolic Equations ◽

Hölder Spaces ◽

Holder Spaces ◽

Quasilinear Parabolic

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Regularity of solutions of boundary value problems for parabolic equations of arbitrary order in weighted Hölder spaces

Differential Equations ◽

10.1134/s001226611406010x ◽

2014 ◽

Vol 50 (6) ◽

pp. 824-834

Author(s):

M. F. Cherepova

Keyword(s):

Boundary Value Problems ◽

Parabolic Equations ◽

Arbitrary Order ◽

Boundary Value ◽

Regularity Of Solutions ◽

Hölder Spaces ◽

Weighted Hölder Spaces ◽

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Parabolic Equations on Uniformly Regular Riemannian Manifolds and Degenerate Initial Boundary Value Problems

Recent Developments of Mathematical Fluid Mechanics - Advances in Mathematical Fluid Mechanics ◽

10.1007/978-3-0348-0939-9_4 ◽

2016 ◽

pp. 43-77 ◽

Author(s):

Herbert Amann

Keyword(s):

Boundary Value Problems ◽

Riemannian Manifolds ◽

Parabolic Equations ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Initial Boundary Value ◽

Uniformly Regular

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Investigation of solvability of the multidimensional two-phase Stefan and the nonstationary filtration Florin problems for second order parabolic equations in weighted Hölder spaces of functions

Journal of Mathematical Sciences ◽

10.1007/bf02399935 ◽

1997 ◽

Vol 84 (1) ◽

pp. 823-844 ◽

Author(s):

G. I. Bizhanova

Keyword(s):

Parabolic Equations ◽

Second Order ◽

Hölder Spaces ◽

Two Phase ◽

Nonstationary Filtration ◽

Weighted Hölder Spaces ◽

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On the well-posedness of a second order difference scheme for elliptic-parabolic equations in Hölder spaces

10.1063/1.4930475 ◽

2015 ◽

Author(s):

Okan Gercek ◽

Emel Zusi

Keyword(s):

Difference Scheme ◽

Parabolic Equations ◽

Second Order ◽

Well Posedness ◽

Hölder Spaces ◽

Order Difference ◽

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A priori estimates and theory of existence for parabolic equations in variable Hölder spaces

Journal of Differential Equations ◽

10.1016/j.jde.2021.04.006 ◽

2021 ◽

Vol 287 ◽

pp. 491-541

Author(s):

Piotr Michał Bies

Keyword(s):

Parabolic Equations ◽

A Priori Estimates ◽

A Priori ◽

Hölder Spaces ◽

Priori Estimates ◽

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Solutions in Hölder spaces of boundary-value problems for parabolic equations with nonconjugate initial and boundary data

Journal of Mathematical Sciences ◽

10.1007/s10958-010-0122-8 ◽

2010 ◽

Vol 171 (1) ◽

pp. 9-21 ◽

Author(s):

Galina Irzhanovna Bizhanova

Keyword(s):

Boundary Value Problems ◽

Parabolic Equations ◽

Boundary Data ◽

Boundary Value ◽

Hölder Spaces ◽

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Lectures on Elliptic and Parabolic Equations in Hölder Spaces

10.1090/gsm/012 ◽

1996 ◽

Author(s):

N. Krylov

Keyword(s):

Parabolic Equations ◽

Hölder Spaces ◽

Elliptic And Parabolic Equations ◽

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Regularity of solutions of boundary-value problems for high-order parabolic equations in weighted Hölder spaces

Doklady Mathematics ◽

10.1134/s1064562411060019 ◽

2011 ◽

Vol 84 (2) ◽

pp. 617-619

Author(s):

M. F. Cherepova

Keyword(s):

Boundary Value Problems ◽

Parabolic Equations ◽

Boundary Value ◽

Regularity Of Solutions ◽

Hölder Spaces ◽

Weighted Hölder Spaces ◽

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