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Functional analysis books for PDE.
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I want to study functional analysis to learn about the existence, uniqueness and general form of the solutions of PDEs (because I heard that something like that is done by functional analysis).
I went to bookstore and opened a functional analysis book, but it was a book of abstract algebra, and PDE theory was not written in it.
Are there any books of functional analysis for PDE?
functional-analysis pde book-recommendation
asked Jul 27 at 8:17
marimo
965
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up vote
1
down vote
favorite
I want to study functional analysis to learn about the existence, uniqueness and general form of the solutions of PDEs (because I heard that something like that is done by functional analysis).
I went to bookstore and opened a functional analysis book, but it was a book of abstract algebra, and PDE theory was not written in it.
Are there any books of functional analysis for PDE?
functional-analysis pde book-recommendation
asked Jul 27 at 8:17
marimo
965
For very basic facts you can read Rudin's Functional Analysis. If you want to get deep into it you can read Hormander's book.
– Kavi Rama Murthy
Jul 27 at 8:27
3
I would recommend Brezis's Functional Analysis, Sobolev spaces and Partial Differential Equations.
– Lorenzo Quarisa
Jul 27 at 8:30
@Kavi: Your have a funny understanding of "very basic" :) When it comes to general functional analysis, Rudin is one of the most comprehensive basic books I know. But I don't know if it is a good book for someone seeing functional analysis for the first time.
– PhoemueX
Jul 27 at 15:00
@PhoemueX When I said 'very basic facts' I was not referring to FA but to PDE part of FA. Surely Rudin is great text for FA.
– Kavi Rama Murthy
Jul 27 at 23:18
add a comment |Â
up vote
1
down vote
favorite
up vote
1
down vote
favorite
I want to study functional analysis to learn about the existence, uniqueness and general form of the solutions of PDEs (because I heard that something like that is done by functional analysis).
I went to bookstore and opened a functional analysis book, but it was a book of abstract algebra, and PDE theory was not written in it.
Are there any books of functional analysis for PDE?
functional-analysis pde book-recommendation
asked Jul 27 at 8:17
marimo
965
I want to study functional analysis to learn about the existence, uniqueness and general form of the solutions of PDEs (because I heard that something like that is done by functional analysis).
I went to bookstore and opened a functional analysis book, but it was a book of abstract algebra, and PDE theory was not written in it.
Are there any books of functional analysis for PDE?
functional-analysis pde book-recommendation
asked Jul 27 at 8:17
marimo
965
asked Jul 27 at 8:17
marimo
965
asked Jul 27 at 8:17
marimo
965
asked Jul 27 at 8:17
marimo
965
965
For very basic facts you can read Rudin's Functional Analysis. If you want to get deep into it you can read Hormander's book.
– Kavi Rama Murthy
Jul 27 at 8:27
3
I would recommend Brezis's Functional Analysis, Sobolev spaces and Partial Differential Equations.
– Lorenzo Quarisa
Jul 27 at 8:30
@Kavi: Your have a funny understanding of "very basic" :) When it comes to general functional analysis, Rudin is one of the most comprehensive basic books I know. But I don't know if it is a good book for someone seeing functional analysis for the first time.
– PhoemueX
Jul 27 at 15:00
@PhoemueX When I said 'very basic facts' I was not referring to FA but to PDE part of FA. Surely Rudin is great text for FA.
– Kavi Rama Murthy
Jul 27 at 23:18
add a comment |Â
For very basic facts you can read Rudin's Functional Analysis. If you want to get deep into it you can read Hormander's book.
– Kavi Rama Murthy
Jul 27 at 8:27
3
I would recommend Brezis's Functional Analysis, Sobolev spaces and Partial Differential Equations.
– Lorenzo Quarisa
Jul 27 at 8:30
@Kavi: Your have a funny understanding of "very basic" :) When it comes to general functional analysis, Rudin is one of the most comprehensive basic books I know. But I don't know if it is a good book for someone seeing functional analysis for the first time.
– PhoemueX
Jul 27 at 15:00
@PhoemueX When I said 'very basic facts' I was not referring to FA but to PDE part of FA. Surely Rudin is great text for FA.
– Kavi Rama Murthy
Jul 27 at 23:18
For very basic facts you can read Rudin's Functional Analysis. If you want to get deep into it you can read Hormander's book.
– Kavi Rama Murthy
Jul 27 at 8:27
For very basic facts you can read Rudin's Functional Analysis. If you want to get deep into it you can read Hormander's book.
– Kavi Rama Murthy
Jul 27 at 8:27
3
3
I would recommend Brezis's Functional Analysis, Sobolev spaces and Partial Differential Equations.
– Lorenzo Quarisa
Jul 27 at 8:30
I would recommend Brezis's Functional Analysis, Sobolev spaces and Partial Differential Equations.
– Lorenzo Quarisa
Jul 27 at 8:30
@Kavi: Your have a funny understanding of "very basic" :) When it comes to general functional analysis, Rudin is one of the most comprehensive basic books I know. But I don't know if it is a good book for someone seeing functional analysis for the first time.
– PhoemueX
Jul 27 at 15:00
@Kavi: Your have a funny understanding of "very basic" :) When it comes to general functional analysis, Rudin is one of the most comprehensive basic books I know. But I don't know if it is a good book for someone seeing functional analysis for the first time.
– PhoemueX
Jul 27 at 15:00
@PhoemueX When I said 'very basic facts' I was not referring to FA but to PDE part of FA. Surely Rudin is great text for FA.
– Kavi Rama Murthy
Jul 27 at 23:18
@PhoemueX When I said 'very basic facts' I was not referring to FA but to PDE part of FA. Surely Rudin is great text for FA.
– Kavi Rama Murthy
Jul 27 at 23:18
add a comment |Â
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For very basic facts you can read Rudin's Functional Analysis. If you want to get deep into it you can read Hormander's book.
– Kavi Rama Murthy
Jul 27 at 8:27
3
I would recommend Brezis's Functional Analysis, Sobolev spaces and Partial Differential Equations.
– Lorenzo Quarisa
Jul 27 at 8:30
@Kavi: Your have a funny understanding of "very basic" :) When it comes to general functional analysis, Rudin is one of the most comprehensive basic books I know. But I don't know if it is a good book for someone seeing functional analysis for the first time.
– PhoemueX
Jul 27 at 15:00
@PhoemueX When I said 'very basic facts' I was not referring to FA but to PDE part of FA. Surely Rudin is great text for FA.
– Kavi Rama Murthy
Jul 27 at 23:18