Uniqueness Result for the Generalized Entropy Solutions to the Cauchy Problem for First-Order Partial Differential-Functional Equations

Zdzisław Kamont; H. Leszczyński

doi:10.4171/zaa/500

Uniqueness Result for the Generalized Entropy Solutions to the Cauchy Problem for First-Order Partial Differential-Functional Equations

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/500 ◽

1994 ◽

Vol 13 (3) ◽

pp. 477-491 ◽

Cited By ~ 2

Author(s):

Zdzisław Kamont ◽

H. Leszczyński

Keyword(s):

Cauchy Problem ◽

Functional Equations ◽

Uniqueness Result ◽

Entropy Solutions ◽

Partial Differential ◽

Generalized Entropy ◽

First Order ◽

The Cauchy Problem

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To the Theory of Generalized Entropy Solutions of the Cauchy Problem for a First Order Quasilinear Equation in the Class of Locally Integrable Functions

Hyperbolic Problems: Theory, Numerics, Applications ◽

10.1007/978-3-642-55711-8_74 ◽

2003 ◽

pp. 789-796

Author(s):

E.Yu. Panov

Keyword(s):

Cauchy Problem ◽

Quasilinear Equation ◽

Entropy Solutions ◽

Generalized Entropy ◽

First Order ◽

Integrable Functions ◽

The Cauchy Problem

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On the Existence and Uniqueness of Solutions of the CAUCHY Problem for Linear Partial Differential – functional Equations of the First Order

Mathematische Nachrichten ◽

10.1002/mana.19770800113 ◽

1977 ◽

Vol 80 (1) ◽

pp. 183-200 ◽

Cited By ~ 4

Author(s):

Z. Kamont

Keyword(s):

Cauchy Problem ◽

Existence And Uniqueness ◽

Functional Equations ◽

Uniqueness Of Solutions ◽

Partial Differential ◽

First Order ◽

The Cauchy Problem

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On well-posedness classes of locally bounded generalized entropy solutions of the Cauchy problem for quasilinear first-order equations

Journal of Mathematical Sciences ◽

10.1007/s10958-008-0156-3 ◽

2008 ◽

Vol 150 (6) ◽

pp. 2578-2587 ◽

Cited By ~ 3

Author(s):

E. Yu. Panov

Keyword(s):

Cauchy Problem ◽

Entropy Solutions ◽

Well Posedness ◽

Generalized Entropy ◽

First Order ◽

The Cauchy Problem

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On the Cauchy problem for linear partial differential-functional equations of first order

Annales Polonici Mathematici ◽

10.4064/ap-35-1-27-48 ◽

1977 ◽

Vol 35 (1) ◽

pp. 27-48 ◽

Cited By ~ 4

Author(s):

Z. Kamont

Keyword(s):

Cauchy Problem ◽

Functional Equations ◽

Partial Differential ◽

First Order ◽

The Cauchy Problem

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On the CAUCHY Problem for Non-linear Partial Differential-functional Equations of the First Order

Mathematische Nachrichten ◽

10.1002/mana.19790880103 ◽

1979 ◽

Vol 88 (1) ◽

pp. 13-29 ◽

Cited By ~ 5

Author(s):

Zdzisław Kamont

Keyword(s):

Cauchy Problem ◽

Functional Equations ◽

Partial Differential ◽

First Order ◽

Non Linear ◽

The Cauchy Problem

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On generalized entropy solutions of the Cauchy problem for a first-order quasilinear equation in the class of locally summable functions

Izvestiya Mathematics ◽

10.1070/im2002v066n06abeh000411 ◽

2002 ◽

Vol 66 (6) ◽

pp. 1171-1218 ◽

Cited By ~ 13

Author(s):

E Yu Panov

Keyword(s):

Cauchy Problem ◽

Quasilinear Equation ◽

Entropy Solutions ◽

Generalized Entropy ◽

First Order ◽

The Cauchy Problem

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On the Cauchy problem for non-linear systems of partial differential-functional equations of the first order

Acta Mathematica Academiae Scientiarum Hungaricae ◽

10.1007/bf01886301 ◽

1980 ◽

Vol 35 (3-4) ◽

pp. 295-309

Author(s):

Z. Kamont

Keyword(s):

Cauchy Problem ◽

Linear Systems ◽

Functional Equations ◽

Partial Differential ◽

First Order ◽

Non Linear ◽

The Cauchy Problem ◽

Non Linear Systems

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On the Cauchy Problem for Quasilinear Hyperbolic Systems of Partial Differential-Functional Equations of the First Order

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/439 ◽

1991 ◽

Vol 10 (2) ◽

pp. 169-182 ◽

Cited By ~ 4

Author(s):

Tomasz Człapiński

Keyword(s):

Cauchy Problem ◽

Functional Equations ◽

Hyperbolic Systems ◽

Partial Differential ◽

Quasilinear Hyperbolic Systems ◽

First Order ◽

The Cauchy Problem

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Maximum and minimum generalized entropy solutions to the Cauchy problem for a first-order quasilinear equation

Sbornik Mathematics ◽

10.1070/sm2002v193n05abeh000653 ◽

2002 ◽

Vol 193 (5) ◽

pp. 727-743 ◽

Cited By ~ 5

Author(s):

E Yu Panov

Keyword(s):

Cauchy Problem ◽

Quasilinear Equation ◽

Entropy Solutions ◽

Generalized Entropy ◽

First Order ◽

The Cauchy Problem

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Propagation of zeroes and uniqueness in the Cauchy problem for first order partial differential equations

Archive for Rational Mechanics and Analysis ◽

10.1007/bf00251658 ◽

1970 ◽

Vol 38 (3) ◽

pp. 178-188 ◽

Cited By ~ 12

Author(s):

E. C. Zachmanoglou

Keyword(s):

Cauchy Problem ◽

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential ◽

First Order ◽

The Cauchy Problem

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