Solution-giving formula to Cauchy problem for multidimensional parabolic equation with variable coefficients

Ivan D. Remizov

doi:10.1063/1.5038102

Solution-giving formula to Cauchy problem for multidimensional parabolic equation with variable coefficients

Journal of Mathematical Physics ◽

10.1063/1.5038102 ◽

2019 ◽

Vol 60 (7) ◽

pp. 071505

Author(s):

Ivan D. Remizov

Keyword(s):

Cauchy Problem ◽

Parabolic Equation ◽

Variable Coefficients

Download Full-text

Cauchy problem for an essentially infinite-dimensional parabolic equation with variable coefficients

Ukrainian Mathematical Journal ◽

10.1007/bf02658173 ◽

1994 ◽

Vol 46 (6) ◽

pp. 714-724

Author(s):

Yu. V. Bogdanskii

Keyword(s):

Cauchy Problem ◽

Parabolic Equation ◽

Variable Coefficients ◽

Infinite Dimensional

Download Full-text

End-point maximal $$L^1$$ L 1 -regularity for the Cauchy problem to a parabolic equation with variable coefficients

Mathematische Annalen ◽

10.1007/s00208-015-1279-8 ◽

2015 ◽

Vol 365 (1-2) ◽

pp. 661-705 ◽

Cited By ~ 7

Author(s):

Takayoshi Ogawa ◽

Senjo Shimizu

Keyword(s):

Cauchy Problem ◽

Parabolic Equation ◽

Variable Coefficients ◽

End Point ◽

The Cauchy Problem

Download Full-text

Construction of Solution of Parabolic Equation with Variable Coefficients

Journal of Automation and Information Sciences ◽

10.1615/jautomatinfscien.v31.i1-3.370 ◽

1999 ◽

Vol 31 (1-3) ◽

pp. 118-121

Author(s):

Victor G. Bondarenko

Keyword(s):

Parabolic Equation ◽

Variable Coefficients

Download Full-text

Asymptotic solutions of the Cauchy problem with localized initial conditions for linearized two-dimensional Boussinesq-type equations with variable coefficients

Russian Journal of Mathematical Physics ◽

10.1134/s1061920813020040 ◽

2013 ◽

Vol 20 (2) ◽

pp. 155-171 ◽

Cited By ~ 13

Author(s):

S. Yu. Dobrokhotov ◽

S. A. Sergeev ◽

B. Tirozzi

Keyword(s):

Cauchy Problem ◽

Initial Conditions ◽

Variable Coefficients ◽

Asymptotic Solutions ◽

Two Dimensional ◽

The Cauchy Problem

Download Full-text

Cauchy problem for a class of parabolic systems of Shilov type with variable coefficients

Central European Journal of Mathematics ◽

10.2478/s11533-012-0025-7 ◽

2012 ◽

Vol 10 (3) ◽

pp. 1084-1102 ◽

Cited By ~ 4

Author(s):

Vladyslav A. Litovchenko ◽

Iryna M. Dovzhytska

Keyword(s):

Cauchy Problem ◽

Parabolic Systems ◽

Variable Coefficients

Download Full-text

Solving an Ill-Posed Cauchy Problem for a Two-Dimensional Parabolic PDE with Variable Coefficients Using a Preconditioned GMRES Method

SIAM Journal on Scientific Computing ◽

10.1137/130951166 ◽

2014 ◽

Vol 36 (5) ◽

pp. B868-B886 ◽

Cited By ~ 1

Author(s):

Zohreh Ranjbar ◽

Lars Eldén

Keyword(s):

Cauchy Problem ◽

Variable Coefficients ◽

Gmres Method ◽

Two Dimensional ◽

Parabolic Pde ◽

Ill Posed ◽

Preconditioned Gmres

Download Full-text

Regularization of a non-characteristic Cauchy problem for a parabolic equation

Inverse Problems ◽

10.1088/0266-5611/11/6/009 ◽

1995 ◽

Vol 11 (6) ◽

pp. 1247-1263 ◽

Cited By ~ 30

Author(s):

Dinh Nho Hao ◽

A Schneiders ◽

H -J Reinhardt

Keyword(s):

Cauchy Problem ◽

Parabolic Equation ◽

Characteristic Cauchy Problem

Download Full-text

A necessary condition for $H^\infty$-wellposed Cauchy problem of Schrödinger type equations with variable coefficients

Journal of Mathematics of Kyoto University ◽

10.1215/kjm/1250519537 ◽

1992 ◽

Vol 32 (2) ◽

pp. 287-305 ◽

Cited By ~ 6

Author(s):

Shigeomi Hara

Keyword(s):

Cauchy Problem ◽

Variable Coefficients ◽

Necessary Condition

Download Full-text

Asymptotic solutions of the Cauchy problem for the singularly perturbed Korteweg-de Vries equation with variable coefficients

Ukrainian Mathematical Journal ◽

10.1007/s11253-007-0008-1 ◽

2007 ◽

Vol 59 (1) ◽

pp. 126-139 ◽

Cited By ~ 4

Author(s):

V. H. Samoilenko ◽

Yu. I. Samoilenko

Keyword(s):

Cauchy Problem ◽

Vries Equation ◽

Variable Coefficients ◽

Singularly Perturbed ◽

Asymptotic Solutions ◽

De Vries ◽

The Cauchy Problem

Download Full-text

Cauchy problem for quasilinear parabolic equation with a small parameter

Translations of Mathematical Monographs - Matching of Asymptotic Expansions of Solutions of Boundary Value Problems ◽

10.1090/mmono/102/07 ◽

1992 ◽

pp. 215-268

Keyword(s):

Cauchy Problem ◽

Parabolic Equation ◽

Small Parameter ◽

Quasilinear Parabolic Equation ◽

Quasilinear Parabolic

Download Full-text