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Haïm Brezis

Haïm Brezis is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Haïm Brezis rather than just read about it. In short: Haïm Brezis (1 June 1944 – 7 July 2024) was a French mathematician, who mainly worked in functional analysis and partial differential equations. Biography Born in Riom-ès-Montagnes, Cantal, France.

Key takeaways

  • Haïm Brezis belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Haïm Brezis to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Haïm Brezis from memory before moving on to harder problems.

Reference excerpt

Haïm Brezis (1 June 1944 – 7 July 2024) was a French mathematician, who mainly worked in functional analysis and partial differential equations.

Biography Born in Riom-ès-Montagnes, Cantal, France. Brezis was the son of a Romanian immigrant father, who had come to France in the 1930s, and a Jewish mother who had fled from the Netherlands. His wife, Michal Govrin, is an Israeli novelist, poet, and theater director. Brezis received his Ph.D. from the University of Paris in 1972 under the supervision of Gustave Choquet. He was a professor at the Pierre and Marie Curie University and a visiting distinguished professor at Rutgers University. He was a member of the Academia Europaea (1988) and a foreign associate of the United States National Academy of Sciences (2003). In 2012 he became a fellow of the American Mathematical Society. He held honorary doctorates from several universities including National Technical University of Athens. Brezis is listed as an ISI highly cited researcher. He also served on the Mathematical Sciences jury for the Infosys Prize in 2013 and 2014. In 2024 he was awarded the Leroy P. Steele Prize for Lifetime Achievement of the AMS. Brezis died in Jerusalem on 7 July 2024, at the age of 80.

Works Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert (1973) Analyse Fonctionnelle. Théorie et Applications (1983) Haïm Brezis. Un mathématicien juif. Entretien Avec Jacques Vauthier. Collection Scientifiques & Croyants. Editions Beauchesne, 1999. ISBN 978-2-7010-1335-0, ISBN 2-7010-1335-6 Functional Analysis, Sobolev Spaces and Partial Differential Equations, Springer; 1st Edition. edition (10 November 2010), ISBN 978-0-387-70913-0, ISBN 0-387-70913-4

See also Differential inclusion Gagliardo–Nirenberg interpolation inequality

References

External links Biographical sketch (in French) List of publications on the website of Rutgers University "Haim Brezis (1944–2024)" (PDF). Notices of the American Mathematical Society. 73 (2): 104–117. February 2026.

Worked examples

Example 1 — a first encounter with Haïm Brezis

Start with the simplest possible case. Write down what Haïm Brezis claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Haïm Brezis before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Haïm Brezis ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Haïm Brezis

In research
Haïm Brezis appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Haïm Brezis in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Haïm Brezis is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1944 births, 2024 deaths, 20th-century French Jews, so understanding it makes those chapters shorter.
In everyday life
Look for Haïm Brezis outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Haïm Brezis in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Haïm Brezis means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Haïm Brezis out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Haïm Brezis in simple terms?

Haïm Brezis (1 June 1944 – 7 July 2024) was a French mathematician, who mainly worked in functional analysis and partial differential equations. Biography Born in Riom-ès-Montagnes, Cantal, France.

Why does Haïm Brezis matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Haïm Brezis?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Haïm Brezis.

Tags

  • 1944 births
  • 2024 deaths
  • 20th-century French Jews
  • 20th-century French mathematicians
  • Academic staff of the University of Paris
  • Fellows of the American Mathematical Society
  • French Orthodox Jews
  • French mathematical analysts
  • French people of Romanian descent
  • Functional analysts
  • International members of the National Academy of Sciences
  • Jewish French scientists

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