Mixed Problems in the Quarter of the Space

Partial Differential Equations And Systems Not Solvable With Respect To The Highest-Order Derivative ◽

10.1201/9780203911433.ch4 ◽

2003 ◽

Keyword(s):

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A solvability conditions of mixed problems for equations of parabolic type with involution

BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS ◽

10.31489/2018m4/87-93 ◽

2018 ◽

Vol 92 (4) ◽

pp. 87-93

Author(s):

A.A. Sarsenbi ◽

Keyword(s):

Parabolic Type ◽

Solvability Conditions ◽

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Modification of the fictitious absorption method for solving integral equations of mixed problems for arbitrary simply connected regions

Journal of Physics Conference Series ◽

10.1088/1742-6596/1709/1/012024 ◽

2020 ◽

Vol 1709 ◽

pp. 012024

Author(s):

I S Telyatnikov ◽

A V Pavlova ◽

M S Kapustin

Keyword(s):

Integral Equations ◽

Absorption Method ◽

Mixed Problems ◽

Simply Connected

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On the mixed problems for the wave equation in an interior domain

Communications in Partial Differential Equations ◽

10.1080/03605307808820065 ◽

1978 ◽

Vol 3 (3) ◽

pp. 249-295 ◽

Author(s):

Mitsuru Ikawa

Keyword(s):

Wave Equation ◽

Mixed Problems ◽

Interior Domain

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Characteristic and mixed problems for second-order equations of the hyperbolic type

Differential Equations ◽

10.1134/s0012266112100102 ◽

2012 ◽

Vol 48 (10) ◽

pp. 1398-1407 ◽

Author(s):

Z. A. Nakhusheva

Keyword(s):

Second Order ◽

Hyperbolic Type ◽

Mixed Problems ◽

Second Order Equations

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Mixed problems in a Lipschitz domain for strongly elliptic second-order systems

Functional Analysis and Its Applications ◽

10.1007/s10688-011-0011-z ◽

2011 ◽

Vol 45 (2) ◽

pp. 81-98 ◽

Author(s):

M. S. Agranovich

Keyword(s):

Lipschitz Domain ◽

Second Order ◽

Mixed Problems ◽

Second Order Systems

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Sparse tensor product high dimensional finite elements for two-scale mixed problems

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.12.015 ◽

2021 ◽

Vol 85 ◽

pp. 42-56

Author(s):

Van Tiep Chu ◽

Viet Ha Hoang ◽

Roktaek Lim

Keyword(s):

Finite Elements ◽

Tensor Product ◽

High Dimensional ◽

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Remarks on $L^2$-well-posed mixed problems for hyperbolic equations of second order

Hokkaido Mathematical Journal ◽

10.14492/hokmj/1381758982 ◽

1973 ◽

Vol 2 (2) ◽

pp. 214-230 ◽

Author(s):

Rentaro AGEMI

Keyword(s):

Hyperbolic Equations ◽

Second Order ◽

Mixed Problems ◽

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Mixed problems

Variational Techniques for Elliptic Partial Differential Equations ◽

10.1201/9780429507069-10 ◽

2019 ◽

pp. 209-252

Author(s):

Francisco-Javier Sayas ◽

Thomas S. Brown ◽

Matthew E. Hassell

Keyword(s):

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Construction of Carleman formulas by using mixed problems with parameter-dependent boundary conditions

Siberian Mathematical Journal ◽

10.1134/s0037446617040140 ◽

2017 ◽

Vol 58 (4) ◽

pp. 676-686

Author(s):

A. N. Polkovnikov ◽

A. A. Shlapunov

Keyword(s):

Boundary Conditions ◽

Mixed Problems ◽

Parameter Dependent

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Mixed Problems for Linear Systems of first Order Equations

Canadian Journal of Mathematics ◽

10.4153/cjm-1958-017-1 ◽

1958 ◽

Vol 10 ◽

pp. 127-160 ◽

Author(s):

G. F. D. Duff

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential ◽

Auxiliary Data ◽

First Order ◽

Independent Variables ◽

Mixed Problems ◽

Linear Partial Differential Equations ◽

Data Problem ◽

Hyperbolic Differential Equations

A mixed problem in the theory of partial differential equations is an auxiliary data problem wherein conditions are assigned on two distinct surfaces having an intersection of lower dimension. Such problems have usually been formulated in connection with hyperbolic differential equations, with initial and boundary conditions prescribed. In this paper a study is made of the conditions appropriate to a system of R linear partial differential equations of first order, in R dependent and N independent variables.

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