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Partially elliptic differential equations having distributions as their right members

100%

Marcinkowska H.

Instytut Matematyczny Polskiej Akademii Nauk

EN

Contents Introduction.............................................................................................................................3 1. Definitions, notations and some auxiliary lemmas...................................................4 2. The definition of the spaces $H_{p,q;Y}(Ω, ℬ)$..........................................................7 3. Some properties of the spaces $H_{p,q;Y}(Ω, ℬ)$...................................................10 4. Some examples of the spaces $H_{p,q;Y}(Ω, ℬ)$....................................................15 5. Some special cases of the spaces $H_{p,q;μ}(Ω, ℬ)$.............................................20 6. Estimates for elliptic operators depending on a parameter....................................23 7. The density theorems for elliptic operators depending on a parameter...............35 8. Differential equations in the spaces $H_{p,q;μ}(Ω, ℬ)$...........................................38 9. Local theorems.................................................................................................................46 10.Some counter-examples...............................................................................................49 References.............................................................................................................................53

2

A remark concerning the dependence on the initial data of the solution of the Cauchy problem for a linear equation with analytic coefficients

83%

Marcinkowska H.

Annales Polonici Mathematici

|

1970-1971

|

tom 24

|

nr 3

349-350

3

Quelques propriétés des potentiels généralisés relatifs à l'équation parabolique définie sur une variété riemannienne

71%

Marcinkowska H.

Annales Polonici Mathematici

|

1960-1961

|

tom 9

|

nr 1

25-37

4

On a class of initial-boundary value problems in a domain with boundary containing isolated points

60%

Marcinkowska H.

Annales Polonici Mathematici

|

1981-1983

|

tom 40

|

nr 2

115-132

5

On the percolation of water from a cylindrical reservoir into the surrounding soil

49%

Goncerzewicz J., Marcinkowska H., Okrasiński W., Tabisz K.

Applicationes Mathematicae

|

1977-1980

|

tom 16

|

nr 2

249-261

6

Some remarks on the Galerkin approximation of parabolic equations

48%

Marcinkowska H., Szustalewicz A.

Applicationes Mathematicae

|

1988

|

tom 20

|

nr 4

607-624

7

On Galerkin approximations of parabolic equations in time dependent domains

48%

Marcinkowska H.

Applicationes Mathematicae

|

1987

|

tom 19

|

nr 2

289-307

8

On a class of mixed boundary value problems for linear hyperbolic equations

48%

Marcinkowska H.

Colloquium Mathematicum

|

1982

|

tom 47

|

nr 1

123-142

9

On some non-local boundary value problems with distributional data

48%

Marcinkowska H.

Annales Polonici Mathematici

|

1974-1975

|

tom 29

|

nr 2

149-166

10

Differentiability theorem for elliptic equations considered on a compact Riemannian manifold

48%

Marcinkowska H.

Colloquium Mathematicum

|

1964

|

tom 12

|

nr 1

91-105

11

On internal approximations of parabolic problems

42%

Marcinkowska H.

Annales Polonici Mathematici

|

1983

|

tom 42

|

nr 1

173-180

12

On the differentiability of weak solutions of certain non-elliptic equations

42%

Marcinkowska H.

Studia Mathematica

|

1962-1963

|

tom 22

|

nr 1

91-107

13

On the differentiability of weak solutions of certain non-elliptic equations II

42%

Marcinkowska H.

Studia Mathematica

|

1963-1964

|

tom 23

|

nr 1

85-103

14

A remark on approximate solving of a class of initial-boundary value problems

42%

Marcinkowska H.

Studia Mathematica

|

1983-1984

|

tom 77

|

nr 3

283-287

Ograniczanie wyników

5 Annales Polonici Mathematici

3 Applicationes Mathematicae

3 Studia Mathematica

2 Colloquium Mathematicum

14 Marcinkowska H.

1 Goncerzewicz J.

1 Okrasiński W.

1 Szustalewicz A.

1 Tabisz K.

1 1988

1 1987

1 1984

2 1983

1 1982

1 1978

1 1974

1 1971

1 1966

1 1964

1 1963

1 1962

1 1960

Partially elliptic differential equations having distributions as their right members

A remark concerning the dependence on the initial data of the solution of the Cauchy problem for a linear equation with analytic coefficients

Quelques propriétés des potentiels généralisés relatifs à l'équation parabolique définie sur une variété riemannienne

On a class of initial-boundary value problems in a domain with boundary containing isolated points

On the percolation of water from a cylindrical reservoir into the surrounding soil

Some remarks on the Galerkin approximation of parabolic equations

On Galerkin approximations of parabolic equations in time dependent domains

On a class of mixed boundary value problems for linear hyperbolic equations

On some non-local boundary value problems with distributional data

Differentiability theorem for elliptic equations considered on a compact Riemannian manifold

On internal approximations of parabolic problems

On the differentiability of weak solutions of certain non-elliptic equations

On the differentiability of weak solutions of certain non-elliptic equations II

A remark on approximate solving of a class of initial-boundary value problems