On the Existence of Mild Solutions of the Initial-Boundary-Value Problems for the Petrovskii-Type Semilinear Parabolic Systems with Variable Exponents of Nonlinearity

Ukrainian Mathematical Journal ◽

10.1007/s11253-014-0947-2 ◽

2014 ◽

Vol 66 (4) ◽

pp. 487-498

Author(s):

O. M. Buhrii

Keyword(s):

Boundary Value Problems ◽

Mild Solutions ◽

Boundary Value ◽

Parabolic Systems ◽

Initial Boundary ◽

Variable Exponents ◽

Initial Boundary Value Problems ◽

Semilinear Parabolic Systems ◽

Initial Boundary Value ◽

Semilinear Parabolic

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Initial boundary value problems for second order parabolic systems in cylinders with polyhedral base

Boundary Value Problems ◽

10.1186/1687-2770-2011-56 ◽

2011 ◽

Vol 2011 (1) ◽

Author(s):

Vu Trong Luong ◽

Do Van Loi

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Parabolic Systems ◽

Initial Boundary ◽

Second Order ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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Uniqueness of Solutions of the First and Second Initial–Boundary Value Problems for Parabolic Systems in Bounded Domains on the Plane

Differential Equations ◽

10.1134/s001226612108005x ◽

2021 ◽

Vol 57 (8) ◽

pp. 1010-1019

Author(s):

E. A. Baderko ◽

M. F. Cherepova

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Parabolic Systems ◽

Initial Boundary ◽

Bounded Domains ◽

Initial Boundary Value Problems ◽

Uniqueness Of Solutions ◽

Initial Boundary Value

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Initial boundary value problems for incompletely parabolic systems

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.3160300606 ◽

1977 ◽

Vol 30 (6) ◽

pp. 797-822 ◽

Author(s):

John C. Strikwerda

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Parabolic Systems ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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Initial Boundary-Value Problems for Parabolic Systems in Dihedral Domains

Ukrainian Mathematical Journal ◽

10.1007/s11253-020-01840-8 ◽

2020 ◽

Vol 72 (7) ◽

pp. 1051-1067

Author(s):

P. T. Duong

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Parabolic Systems ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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Complete blow-up of solutions for degenerate semilinear parabolic first initial-boundary value problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2005.11.093 ◽

2006 ◽

Vol 177 (2) ◽

pp. 777-784 ◽

Author(s):

C.Y. Chan ◽

W.Y. Chan

Keyword(s):

Boundary Value Problems ◽

Blow Up ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Initial Boundary Value ◽

Semilinear Parabolic

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Decay bounds in initial-boundary value problems for nonlinear parabolic systems

Nonlinear Analysis ◽

10.1016/s0362-546x(01)00784-2 ◽

2002 ◽

Vol 50 (7) ◽

pp. 899-912 ◽

Author(s):

L.E. Payne ◽

P.W. Schaefer

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Parabolic Systems ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Nonlinear Parabolic Systems ◽

Nonlinear Parabolic ◽

Decay Bounds ◽

Initial Boundary Value

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Homogenization of solutions of initial boundary value problems for parabolic systems

Functional Analysis and Its Applications ◽

10.1007/s10688-015-0087-y ◽

2015 ◽

Vol 49 (1) ◽

pp. 72-76 ◽

Author(s):

Yu. M. Meshkova ◽

T. A. Suslina

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Parabolic Systems ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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Initial–boundary value problems for nonlinear elliptic–parabolic equations with variable exponents of nonlinearity in unbounded domains without conditions at infinity

Nonlinear Analysis ◽

10.1016/j.na.2019.111700 ◽

2020 ◽

Vol 192 ◽

pp. 111700

Author(s):

Mykola Bokalo ◽

Oleh Buhrii ◽

Nikolyetta Hryadil

Keyword(s):

Boundary Value Problems ◽

Parabolic Equations ◽

Boundary Value ◽

Unbounded Domains ◽

Initial Boundary ◽

Variable Exponents ◽

Initial Boundary Value Problems ◽

Nonlinear Elliptic ◽

Initial Boundary Value ◽

Conditions At Infinity

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Reduction of the fundamental initial-boundary-value problems for Stokes equations to initial-boundary-value problems for parabolic systems of pseudodifferential equations

Journal of Soviet Mathematics ◽

10.1007/bf02208710 ◽

1990 ◽

Vol 49 (5) ◽

pp. 1140-1147 ◽

Author(s):

G. Grubb ◽

V. A. Solonnikov

Keyword(s):

Boundary Value Problems ◽

Stokes Equations ◽

Boundary Value ◽

Parabolic Systems ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Pseudodifferential Equations ◽

Initial Boundary Value

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Initial Boundary Value Problems and Optimal Control for Nonautonomous Parabolic Systems

SIAM Journal on Control and Optimization ◽

10.1137/0329005 ◽

1991 ◽

Vol 29 (1) ◽

pp. 89-118 ◽

Author(s):

P. Acquistapace ◽

F. Flandoli ◽

B. Terreni

Keyword(s):

Optimal Control ◽

Boundary Value Problems ◽

Boundary Value ◽

Parabolic Systems ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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