mathematics

Sigeru Mizohata

Sigeru Mizohata 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 Sigeru Mizohata rather than just read about it. In short: Sigeru (Shigeru) Mizohata (Japanese: 溝畑茂(みぞはたしげる); December 30, 1924 – June 25, 2002) was a Japanese mathematician, who specialized in the theory of partial differential equations. Biography Sigeru Mizohata graduated from the Faculty of Science at the Kyoto Imperial University in 1947, where he was studying under Hiroshi Okamura.

Key takeaways

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

Reference excerpt

Biography Sigeru Mizohata graduated from the Faculty of Science at the Kyoto Imperial University in 1947, where he was studying under Hiroshi Okamura. From 1954 to 1957 he studied in France as an international student; this left a lasting impact, with many of his research papers subsequently published in French. His research interests mainly concerned hyperbolic partial differential equations and the use of functional analysis in the theory of PDEs. He was awarded an honorary doctorate by the University of Paris in 1986. An observation Mizohata made on some work of Jiro Takeuchi related to the Cauchy problem evolved into the Mizohata-Takeuchi conjecture, to which Hannah Cairo found a counterexample in 2025.

Books Mizohata, Sigeru (1979). The Theory of Partial Differential Equations (revised ed.). Cambridge University Press. ISBN 9780521297462. Mizohata, Sigeru (1985). On the Cauchy Problem. Notes and Reports in Mathematics in Science and Engineering. Vol. 3. Academic Press, Inc. ISBN 9781483269061.

Works Mizohata, Sigeru (1961), "Some remarks on the Cauchy problem", Journal of Mathematics of Kyoto University, 1 (1): 109–127, doi:10.1215/kjm/1250525109 Mizohata, Sigeru (1962), "Analyticity of the fundamental solutions of hyperbolic systems", Journal of Mathematics of Kyoto University, 1 (3): 327–355, doi:10.1215/kjm/1250525008 Mizohata, Sigeru (1965). Lectures on Cauchy Problem, Tata Institute of Fundamental Research. Mizohata, Sigeru (1974), "On Cauchy-Kowalevski's Theorem; A Necessary Condition", Publications of the Research Institute for Mathematical Sciences, 10 (2): 509–519, doi:10.2977/prims/1195192007 Mizohata, Sigeru (1981), "On some Schrödinger type equations", Proceedings of the Japan Academy, Series A, Mathematical Sciences, 57 (2): 81–84, doi:10.3792/pjaa.57.81 Mizohata, Sigeru (1958), "Unicité du prolongement des solutions pour quelques opérateurs différentiels paraboliques", Memoirs of the College of Science, University of Kyoto, Series A: Mathematics, 31 (3): 219–239, doi:10.1215/kjm/1250776858 (in French) Mizohata, Sigeru (1962), "Solutions nulles et solutions non analytiques", Journal of Mathematics of Kyoto University, Series A: Mathematics, 1 (2): 271–302, doi:10.1215/kjm/1250525061 (in French)

References

Worked examples

Example 1 — a first encounter with Sigeru Mizohata

Start with the simplest possible case. Write down what Sigeru Mizohata 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 Sigeru Mizohata 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 Sigeru Mizohata 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 Sigeru Mizohata

In research: Sigeru Mizohata 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 Sigeru Mizohata 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: Sigeru Mizohata is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1924 births, 2002 deaths, 20th-century Japanese mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Sigeru Mizohata 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 Sigeru Mizohata in 20 minutes

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

Frequently asked questions

What is Sigeru Mizohata in simple terms?

Sigeru (Shigeru) Mizohata (Japanese: 溝畑茂(みぞはたしげる); December 30, 1924 – June 25, 2002) was a Japanese mathematician, who specialized in the theory of partial differential equations. Biography Sigeru Mizohata graduated from the Faculty of Science at the Kyoto Imperial University in 1947, where he w…

Why does Sigeru Mizohata 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 Sigeru Mizohata?

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 Sigeru Mizohata.